Mathway | Problèmes fréquents

Problèmes fréquents

Rang	Matière	Problème	Problème de formatage
2501	Simplifier la Matrice	[[1,-5,11],[0,0,0]]	$[\begin{array}{c} 1 & - 5 & 11 \\ 0 & 0 & 0 \end{array}]$
2502	Simplifier la Matrice	[[1,5,-5],[2,6,3]]*[[4x,4x],[2x,0]]	$[\begin{array}{c} 1 & 5 & - 5 \\ 2 & 6 & 3 \end{array}] \cdot [\begin{array}{c} 4 x & 4 x \\ 2 x & 0 \end{array}]$
2503	Simplifier la Matrice	[[1,8,4,9.7],[3,5,2,10.7],[6,5,3,11.9],[1,4,5,7.6],[5,6,4,10.4]]+[[9,5,11,18.2],[4,1,11,14.9],[11,7,15,19.4],[2,8,23,12.5],[16,1,5,17.1]]+[[8,6,18,17.9],[7,1,14,16.5],[6,3,21,18.2],[1,7,17,10.8],[8,2,18,17.1]]+[[7,5,10,15],[0,0,0,0],[6,5,13,15.9],[1,3,12,10.9],[8,4,5,13.9]]+[[4,4,9,12.4],[3,1,9,12],[9,5,9,13.2],[1,4,14,8.9],[12,2,4,13.7]]	$[\begin{array}{c} 1 & 8 & 4 & 9.7 \\ 3 & 5 & 2 & 10.7 \\ 6 & 5 & 3 & 11.9 \\ 1 & 4 & 5 & 7.6 \\ 5 & 6 & 4 & 10.4 \end{array}] + [\begin{array}{c} 9 & 5 & 11 & 18.2 \\ 4 & 1 & 11 & 14.9 \\ 11 & 7 & 15 & 19.4 \\ 2 & 8 & 23 & 12.5 \\ 16 & 1 & 5 & 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$
2504	Simplifier la Matrice	[[1,9],[3,20]]	$[\begin{array}{c} 1 & 9 \\ 3 & 20 \end{array}]$
2505	Simplifier la Matrice	[[1+i,1-i],[i,1]]*[[1-i,1+i],[-i,2]]	$[\begin{array}{c} 1 + i & 1 - i \\ i & 1 \end{array}] \cdot [\begin{array}{c} 1 - i & 1 + i \\ - i & 2 \end{array}]$
2506	Simplifier la Matrice	[[11,3,20,18.5],[14,2,15,23.5],[6,3,13,16.2],[0,2,31,13.3],[5,4,10,15.5]]+[[8,1,10,15],[7,2,10,16],[5,2,7,12],[1,2,19,11],[4,2,16,13]]+[[4,6,11,13.3],[12,6,4,17.1],[0,0,0,0],[0,8,10,8.4],[2,3,7,12.8]]+[[1,5,5,12.4],[8,6,3,17.4],[1,8,5,11.7],[0,5,8,9.2],[1,5,3,9.5]]+[[8,8,12,15],[4,7,15,12.9],[5,8,10,10.8],[0,7,18,10],[8,7,8,12.6]]	$[\begin{array}{c} 11 & 3 & 20 & 18.5 \\ 14 & 2 & 15 & 23.5 \\ 6 & 3 & 13 & 16.2 \\ 0 & 2 & 31 & 13.3 \\ 5 & 4 & 10 & 15.5 \end{array}] + [\begin{array}{c} 8 & 1 & 10 & 15 \\ 7 & 2 & 10 & 16 \\ 5 & 2 & 7 & 12 \\ 1 & 2 & 19 & 11 \\ 4 & 2 & 16 & 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$
2507	Simplifier la Matrice	[[18,40],[50,82],[8,64],[32,50]]	$[\begin{array}{c} 18 & 40 \\ 50 & 82 \\ 8 & 64 \\ 32 & 50 \end{array}]$
2508	Simplifier la Matrice	[[-1-i,-1],[2,1-i]]	$[\begin{array}{c} - 1 - i & - 1 \\ 2 & 1 - i \end{array}]$
2509	Simplifier la Matrice	[[2,0],[7,-1]][[6,-1,3],[5,0,-2]]+[[7,0],[-1,3]][[6,-1,3],[5,0,-2]]	$[\begin{array}{c} 2 & 0 \\ 7 & - 1 \end{array}] [\begin{array}{c} 6 & - 1 & 3 \\ 5 & 0 & - 2 \end{array}] + [\begin{array}{c} 7 & 0 \\ - 1 & 3 \end{array}] [\begin{array}{c} 6 & - 1 & 3 \\ 5 & 0 & - 2 \end{array}]$
2510	Simplifier la Matrice	[[-2,1,-2],[1,-1,2],[2,-1,1]][[9],[6],[-9]]	$[\begin{array}{c} - 2 & 1 & - 2 \\ 1 & - 1 & 2 \\ 2 & - 1 & 1 \end{array}] [\begin{array}{c} 9 \\ 6 \\ - 9 \end{array}]$
2511	Simplifier la Matrice	[[2,1],[1,-1]]+[[6,-4],[6,4]]	$[\begin{array}{c} 2 & 1 \\ 1 & - 1 \end{array}] + [\begin{array}{c} 6 & - 4 \\ 6 & 4 \end{array}]$
2512	Simplifier la Matrice	[[2,3,4,16,12],[3,4,5,29,20],[4,5,6,x,30],[5,6,7,67,42],[6,7,8,92,56]]	$[\begin{array}{c} 2 & 3 & 4 & 16 & 12 \\ 3 & 4 & 5 & 29 & 20 \\ 4 & 5 & 6 & x & 30 \\ 5 & 6 & 7 & 67 & 42 \\ 6 & 7 & 8 & 92 & 56 \end{array}]$
2513	Simplifier la Matrice	[[-2,3],[2,-1]][[10,-6],[-9,7]]	$[\begin{array}{c} - 2 & 3 \\ 2 & - 1 \end{array}] [\begin{array}{c} 10 & - 6 \\ - 9 & 7 \end{array}]$
2514	Simplifier la Matrice	[[2,3],[4,5]][[2,3],[6,5]]	$[\begin{array}{c} 2 & 3 \\ 4 & 5 \end{array}] [\begin{array}{c} 2 & 3 \\ 6 & 5 \end{array}]$
2515	Simplifier la Matrice	[[-2,6],[3,-9]]+[[7,1,5],[-3,0,4]]	$[\begin{array}{c} - 2 & 6 \\ 3 & - 9 \end{array}] + [\begin{array}{c} 7 & 1 & 5 \\ - 3 & 0 & 4 \end{array}]$
2516	Simplifier la Matrice	([[2,-8,-10,-14],[-2,3,1,0],[7,0,-1,-3]]*1)/2a	$\frac{[\begin{array}{c} 2 & - 8 & - 10 & - 14 \\ - 2 & 3 & 1 & 0 \\ 7 & 0 & - 1 & - 3 \end{array}] \cdot 1}{2} a$
2517	Simplifier la Matrice	[[2.04a,-1b,0d,0g],[-1a,2.04b,-1d,0g],[0a,-1b,2.04d,-1g],[0a,0b,-1d,2.04g]]-[[40.8],[0.8],[0.8],[200.8]]	$[\begin{array}{c} 2.04 a & - 1 b & 0 d & 0 g \\ - 1 a & 2.04 b & - 1 d & 0 g \\ 0 a & - 1 b & 2.04 d & - 1 g \\ 0 a & 0 b & - 1 d & 2.04 g \end{array}] - [\begin{array}{c} 40.8 \\ 0.8 \\ 0.8 \\ 200.8 \end{array}]$
2518	Simplifier la Matrice	[[2.5,0,18,14,8,3.5,10,9]]	$[\begin{array}{c} 2.5 & 0 & 18 & 14 & 8 & 3.5 & 10 & 9 \end{array}]$
2519	Simplifier la Matrice	[[2],[9]]+[[5],[10]]	$[\begin{array}{c} 2 \\ 9 \end{array}] + [\begin{array}{c} 5 \\ 10 \end{array}]$
2520	Simplifier la Matrice	[[20,5,19,8,20],[9,0,0,15,0],[13,9,19,18,0]][[1,-2,2],[-1,1,3],[1,-1,4]]	$[\begin{array}{c} 20 & 5 & 19 & 8 & 20 \\ 9 & 0 & 0 & 15 & 0 \\ 13 & 9 & 19 & 18 & 0 \end{array}] [\begin{array}{c} 1 & - 2 & 2 \\ - 1 & 1 & 3 \\ 1 & - 1 & 4 \end{array}]$
2521	Simplifier la Matrice	[[23,-5],[65,-7]]	$[\begin{array}{c} 23 & - 5 \\ 65 & - 7 \end{array}]$
2522	Simplifier la Matrice	[[3,-1,4],[5,-3,4],[0,4,-2]][[5,1,5],[4,4,2],[3,-1,4]]	$[\begin{array}{c} 3 & - 1 & 4 \\ 5 & - 3 & 4 \\ 0 & 4 & - 2 \end{array}] [\begin{array}{c} 5 & 1 & 5 \\ 4 & 4 & 2 \\ 3 & - 1 & 4 \end{array}]$
2523	Simplifier la Matrice	[[3,2,-1,-15],[5,3,2,0],[3,2,3,11],[-6,-4,2,40]]	$[\begin{array}{c} 3 & 2 & - 1 & - 15 \\ 5 & 3 & 2 & 0 \\ 3 & 2 & 3 & 11 \\ - 6 & - 4 & 2 & 40 \end{array}]$
2524	Simplifier la Matrice	[[3,-5,1],[0,-2,3],[0,5,-1]][[1,0,3],[2,5,1],[3,-5,3]]	$[\begin{array}{c} 3 & - 5 & 1 \\ 0 & - 2 & 3 \\ 0 & 5 & - 1 \end{array}] [\begin{array}{c} 1 & 0 & 3 \\ 2 & 5 & 1 \\ 3 & - 5 & 3 \end{array}]$
2525	Simplifier la Matrice	[[3,6,-4,16],[2,-1,-9,-18],[-3,-7,8,-27]]	$[\begin{array}{c} 3 & 6 & - 4 & 16 \\ 2 & - 1 & - 9 & - 18 \\ - 3 & - 7 & 8 & - 27 \end{array}]$
2526	Simplifier la Matrice	[[35,70,175,140],[40,40,80,80],[40,40,90,70]][[2800],[1400],[1500]]	$[\begin{array}{c} 35 & 70 & 175 & 140 \\ 40 & 40 & 80 & 80 \\ 40 & 40 & 90 & 70 \end{array}] [\begin{array}{c} 2800 \\ 1400 \\ 1500 \end{array}]$
2527	Simplifier la Matrice	[[-3x,2y,4z],[x,6y,-2z],[4x,4y,-6z]]=-22 , 16 , 38	$[\begin{array}{c} - 3 x & 2 y & 4 z \\ x & 6 y & - 2 z \\ 4 x & 4 y & - 6 z \end{array}] = - 22$ , $16$ , $38$
2528	Simplifier la Matrice	[[3x,4y,15],[4x,3y,12]]	$[\begin{array}{c} 3 x & 4 y & 15 \\ 4 x & 3 y & 12 \end{array}]$
2529	Simplifier la Matrice	[[3x,-5y,8],[2x,5y,22]]	$[\begin{array}{c} 3 x & - 5 y & 8 \\ 2 x & 5 y & 22 \end{array}]$
2530	Simplifier la Matrice	[[3x,y,7],[2x,3y,12]]	$[\begin{array}{c} 3 x & y & 7 \\ 2 x & 3 y & 12 \end{array}]$
2531	Simplifier la Matrice	[[-4,2,3]]+[[-2],[0],[-1]]	$[\begin{array}{c} - 4 & 2 & 3 \end{array}] + [\begin{array}{c} - 2 \\ 0 \\ - 1 \end{array}]$
2532	Simplifier la Matrice	[[-4,2k+30],[-12,2k-10]][[-4,24],[-k-15,2k-10]]	$[\begin{array}{c} - 4 & 2 k + 30 \\ - 12 & 2 k - 10 \end{array}] [\begin{array}{c} - 4 & 24 \\ - k - 15 & 2 k - 10 \end{array}]$
2533	Simplifier la Matrice	[[4,4],[-2,3]][[1,-2],[4,20],[3,4]]	$[\begin{array}{c} 4 & 4 \\ - 2 & 3 \end{array}] [\begin{array}{c} 1 & - 2 \\ 4 & 20 \\ 3 & 4 \end{array}]$
2534	Trouver le déterminant	[[-9/7,1/7,-3/7],[40/21,-2/7,11/21],[-47/7,6/7,-18/7]]	$[\begin{array}{c} - \frac{9}{7} & \frac{1}{7} & - \frac{3}{7} \\ \frac{40}{21} & - \frac{2}{7} & \frac{11}{21} \\ - \frac{47}{7} & \frac{6}{7} & - \frac{18}{7} \end{array}]$
2535	Trouver le déterminant	(2)[[1,340,2,2],[1,255,3,0],[2,435,1,4],[1,225,1,1]]	$(2) [\begin{array}{c} 1 & 340 & 2 & 2 \\ 1 & 255 & 3 & 0 \\ 2 & 435 & 1 & 4 \\ 1 & 225 & 1 & 1 \end{array}]$
2536	Trouver le déterminant	(-2)[[340,2,2],[435,1,4],[225,1,1]]	$(- 2) [\begin{array}{c} 340 & 2 & 2 \\ 435 & 1 & 4 \\ 225 & 1 & 1 \end{array}]$
2537	Trouver le déterminant	(-2xz)(-2yz)[[-2x^2,-2xy,-2xz],[-2xy,1-2y^2,-2yz],[-2xz,-2yz,1-2z^2]]	$(- 2 x z) (- 2 y z) [\begin{array}{c} - 2 x^{2} & - 2 x y & - 2 x z \\ - 2 x y & 1 - 2 y^{2} & - 2 y z \\ - 2 x z & - 2 y z & 1 - 2 z^{2} \end{array}]$
2538	Trouver le déterminant	(3)[[260,1,1],[255,3,0],[435,1,4]]	$(3) [\begin{array}{c} 260 & 1 & 1 \\ 255 & 3 & 0 \\ 435 & 1 & 4 \end{array}]$
2539	Trouver le déterminant	(3*2)[[1,4,4],[0,-2,8],[-6,3,5]]	$(3 \cdot 2) [\begin{array}{c} 1 & 4 & 4 \\ 0 & - 2 & 8 \\ - 6 & 3 & 5 \end{array}]$
2540	Trouver le déterminant	[[5,0,6,4],[5,2,1,0],[7,6,4,7],[5,0,6,4]]	$[\begin{array}{c} 5 & 0 & 6 & 4 \\ 5 & 2 & 1 & 0 \\ 7 & 6 & 4 & 7 \\ 5 & 0 & 6 & 4 \end{array}]$
2541	Trouver le déterminant	\|1\|[[1,-1,-1,-1],[-1,-1,1,1],[1,1,-1,1],[1,1,1,1]]	$\| 1 \| [\begin{array}{c} 1 & - 1 & - 1 & - 1 \\ - 1 & - 1 & 1 & 1 \\ 1 & 1 & - 1 & 1 \\ 1 & 1 & 1 & 1 \end{array}]$
2542	Trouver le déterminant	[[10,12],[-8,-10]]^15	${[\begin{array}{c} 10 & 12 \\ - 8 & - 10 \end{array}]}^{15}$
2543	Trouver le déterminant	A=[[24,3],[-2,-16]]	$A = [\begin{array}{c} 24 & 3 \\ - 2 & - 16 \end{array}]$
2544	Trouver le déterminant	A=[[3 racine carrée de 3,-3],[3,3 racine carrée de 3]]	$A = [\begin{array}{c} 3 \sqrt{3} & - 3 \\ 3 & 3 \sqrt{3} \end{array}]$
2545	Trouver le déterminant	A=[[9,-6],[4,7]]	$A = [\begin{array}{c} 9 & - 6 \\ 4 & 7 \end{array}]$
2546	Trouver le déterminant	A=[[x,3,x^2],[-3,5x,0],[4,x^3,1]]	$A = [\begin{array}{c} x & 3 & x^{2} \\ - 3 & 5 x & 0 \\ 4 & x^{3} & 1 \end{array}]$
2547	Trouver le déterminant	ay-pr=1[[a,p],[r,y]]^-1	$a y - p r = 1 {[\begin{array}{c} a & p \\ r & y \end{array}]}^{- 1}$
2548	Trouver le déterminant	det [[2,1],[1,2]]^-1	det ${[\begin{array}{c} 2 & 1 \\ 1 & 2 \end{array}]}^{- 1}$
2549	Trouver le déterminant	det [[-1,6],[-2,6]]	det $[\begin{array}{c} - 1 & 6 \\ - 2 & 6 \end{array}]$
2550	Trouver le déterminant	det [[3,2,1],[3,4,5],[3,7,8]]	det $[\begin{array}{c} 3 & 2 & 1 \\ 3 & 4 & 5 \\ 3 & 7 & 8 \end{array}]$
2551	Trouver le déterminant	det [[5,3,5],[1,7,8],[9,4,2]]	det $[\begin{array}{c} 5 & 3 & 5 \\ 1 & 7 & 8 \\ 9 & 4 & 2 \end{array}]$
2552	Trouver le déterminant	det [[-5,x],[6,1]]	det $[\begin{array}{c} - 5 & x \\ 6 & 1 \end{array}]$
2553	Trouver le déterminant	det [[x,0],[7,4]]=16	det $[\begin{array}{c} x & 0 \\ 7 & 4 \end{array}] = 16$
2554	Trouver le déterminant	[[0.25,1,1],[4,3,-5],[-1,-3,-4]]	$[\begin{array}{c} 0.25 & 1 & 1 \\ 4 & 3 & - 5 \\ - 1 & - 3 & - 4 \end{array}]$
2555	Trouver le déterminant	[[-0.5084,-0.1587,0.6857],[-0.8474,-0.7936,3.4285],[0.1525,-0.5873,-0.8571]]	$[\begin{array}{c} - 0.5084 & - 0.1587 & 0.6857 \\ - 0.8474 & - 0.7936 & 3.4285 \\ 0.1525 & - 0.5873 & - 0.8571 \end{array}]$
2556	Trouver le déterminant	[[-3/17,5/17],[4/17,-1/17]]	$[\begin{array}{c} - \frac{3}{17} & \frac{5}{17} \\ \frac{4}{17} & - \frac{1}{17} \end{array}]$
2557	Trouver le déterminant	[[-4/7,2/7,1/7,1/7],[-9/7,1/7,-3/7,1/14],[40/21,-2/7,11/21,1/42],[-47/7,6/7,-18/7,-1/14]]	$[\begin{array}{c} - \frac{4}{7} & \frac{2}{7} & \frac{1}{7} & \frac{1}{7} \\ - \frac{9}{7} & \frac{1}{7} & - \frac{3}{7} & \frac{1}{14} \\ \frac{40}{21} & - \frac{2}{7} & \frac{11}{21} & \frac{1}{42} \\ - \frac{47}{7} & \frac{6}{7} & - \frac{18}{7} & - \frac{1}{14} \end{array}]$
2558	Trouver le déterminant	[[a^11,a^12,a^13],[a^21,a^22,a^23],[a^31,a^32,a^33]]	$[\begin{array}{c} a^{11} & a^{12} & a^{13} \\ a^{21} & a^{22} & a^{23} \\ a^{31} & a^{32} & a^{33} \end{array}]$
2559	Trouver le déterminant	[[a^2,b^2,c^2],[bc,ac,ab],[a-b-c,b-a-c,c-a-b]]	$[\begin{array}{c} a^{2} & b^{2} & c^{2} \\ b c & a c & a b \\ a - b - c & b - a - c & c - a - b \end{array}]$
2560	Trouver le déterminant	[[a^2,a,1],[b^2,b,1],[c^2,c,1]]	$[\begin{array}{c} a^{2} & a & 1 \\ b^{2} & b & 1 \\ c^{2} & c & 1 \end{array}]$
2561	Trouver le déterminant	[[a^4,b^4,c^4],[a^2,b^2,c^2],[1,1,1]]	$[\begin{array}{c} a^{4} & b^{4} & c^{4} \\ a^{2} & b^{2} & c^{2} \\ 1 & 1 & 1 \end{array}]$
2562	Trouver le déterminant	[[e^(3x),e^(2x)],[3e^(3x),2e^(2x)]]	$[\begin{array}{c} e^{3 x} & e^{2 x} \\ 3 e^{3 x} & 2 e^{2 x} \end{array}]$
2563	Trouver le déterminant	[[e^(-3x)cos(2x),e^(-3x)sin(2x)],[-3e^(-3x)cos(2x)-2e^(-3x)sin(2x),-3e^(-3x)sin(2x)+2e^(-3x)cos(2x)]]	$[\begin{array}{c} e^{- 3 x} \cos (2 x) & e^{- 3 x} \sin (2 x) \\ (- 3 e^{- 3 x} \cos (2 x) - 2 e^{- 3 x} \sin (2 x)) & (- 3 e^{- 3 x} \sin (2 x) + 2 e^{- 3 x} \cos (2 x)) \end{array}]$
2564	Trouver le déterminant	[[e^x,e^(2x),e^(3x)],[e^x,2e^(2x),3e^(3x)],[e^x,4e^(2x),9e^3]]	$[\begin{array}{c} e^{x} & e^{2 x} & e^{3 x} \\ e^{x} & 2 e^{2 x} & 3 e^{3 x} \\ e^{x} & 4 e^{2 x} & 9 e^{3} \end{array}]$
2565	Trouver le déterminant	[[e^x,cos(x),sin(x)],[e^x,-sin(x),cos(x)],[e^x,-cos(x),-sin(x)]]	$[\begin{array}{c} e^{x} & \cos (x) & \sin (x) \\ e^{x} & - \sin (x) & \cos (x) \\ e^{x} & - \cos (x) & - \sin (x) \end{array}]$
2566	Trouver le déterminant	[[ racine carrée de 2,2 racine carrée de 3],[ racine carrée de 6,5]]	$[\begin{array}{c} \sqrt{2} & 2 \sqrt{3} \\ \sqrt{6} & 5 \end{array}]$
2567	Trouver le déterminant	[[0,0,-16],[4,4,16],[0,0,4]]	$[\begin{array}{c} 0 & 0 & - 16 \\ 4 & 4 & 16 \\ 0 & 0 & 4 \end{array}]$
2568	Trouver le déterminant	[[0,0],[1,0]]	$[\begin{array}{c} 0 & 0 \\ 1 & 0 \end{array}]$
2569	Trouver le déterminant	[[0,-1,4],[3,-4,1],[1,-2,3]]	$[\begin{array}{c} 0 & - 1 & 4 \\ 3 & - 4 & 1 \\ 1 & - 2 & 3 \end{array}]$
2570	Simplifier la Matrice	[[1,-3,4,5,3],[0,1,5,0,12],[0,0,1,-1,2],[1,-3,0,0,-5]]	$[\begin{array}{c} 1 & - 3 & 4 & 5 & 3 \\ 0 & 1 & 5 & 0 & 12 \\ 0 & 0 & 1 & - 1 & 2 \\ 1 & - 3 & 0 & 0 & - 5 \end{array}]$
2571	Simplifier la Matrice	[[1,9,-5,-9],[6,6,7,3],[-8,7,7,3]]-6a+b	$[\begin{array}{c} 1 & 9 & - 5 & - 9 \\ 6 & 6 & 7 & 3 \\ - 8 & 7 & 7 & 3 \end{array}] - 6 a + b$
2572	Simplifier la Matrice	[[1,a+1,a^2],[1-a,1-2a,0],[1,1+a,a]]	$[\begin{array}{c} 1 & a + 1 & a^{2} \\ 1 - a & 1 - 2 a & 0 \\ 1 & 1 + a & a \end{array}]$
2573	Simplifier la Matrice	[[12,16,8],[20,12,28],[32,28,36]][[220],[176],[264]]	$[\begin{array}{c} 12 & 16 & 8 \\ 20 & 12 & 28 \\ 32 & 28 & 36 \end{array}] [\begin{array}{c} 220 \\ 176 \\ 264 \end{array}]$
2574	Simplifier la Matrice	[[2,0,5],[3,-5,1],[4,-7,6]][[9,7,14]]	$[\begin{array}{c} 2 & 0 & 5 \\ 3 & - 5 & 1 \\ 4 & - 7 & 6 \end{array}] [\begin{array}{c} 9 & 7 & 14 \end{array}]$
2575	Simplifier la Matrice	[[2,-3,5],[0,1,3],[7,5,4]][[2,-3,2],[6,3,4],[0,4,8]]	$[\begin{array}{c} 2 & - 3 & 5 \\ 0 & 1 & 3 \\ 7 & 5 & 4 \end{array}] [\begin{array}{c} 2 & - 3 & 2 \\ 6 & 3 & 4 \\ 0 & 4 & 8 \end{array}]$
2576	Simplifier la Matrice	[[-2,3,5],[2,-1,6],[4,-7,-3]]*[[7,-1,4],[-3,5,-2],[5,9,2]]	$[\begin{array}{c} - 2 & 3 & 5 \\ 2 & - 1 & 6 \\ 4 & - 7 & - 3 \end{array}] \cdot [\begin{array}{c} 7 & - 1 & 4 \\ - 3 & 5 & - 2 \\ 5 & 9 & 2 \end{array}]$
2577	Simplifier la Matrice	[[2,-31,1],[4,7,-1],[1,2,-2]][[-15,0],[21,10],[13,1]]	$[\begin{array}{c} 2 & - 31 & 1 \\ 4 & 7 & - 1 \\ 1 & 2 & - 2 \end{array}] [\begin{array}{c} - 15 & 0 \\ 21 & 10 \\ 13 & 1 \end{array}]$
2578	Simplifier la Matrice	[[2,-5],[1,4]]*[[6,2,3],[-4,0,7]]	$[\begin{array}{c} 2 & - 5 \\ 1 & 4 \end{array}] \cdot [\begin{array}{c} 6 & 2 & 3 \\ - 4 & 0 & 7 \end{array}]$
2579	Simplifier la Matrice	[[2,-5],[1,4]][[6,2,3],[-4,0,7]]	$[\begin{array}{c} 2 & - 5 \\ 1 & 4 \end{array}] [\begin{array}{c} 6 & 2 & 3 \\ - 4 & 0 & 7 \end{array}]$
2580	Simplifier la Matrice	[[200,300,500,250],[100,150,200,300]]	$[\begin{array}{c} 200 & 300 & 500 & 250 \\ 100 & 150 & 200 & 300 \end{array}]$
2581	Simplifier la Matrice	[[200,350,450],[58,39,19]]	$[\begin{array}{c} 200 & 350 & 450 \\ 58 & 39 & 19 \end{array}]$
2582	Simplifier la Matrice	[[3,-12,-6],[2,-8,-4],[4,-16,-8]]	$[\begin{array}{c} 3 & - 12 & - 6 \\ 2 & - 8 & - 4 \\ 4 & - 16 & - 8 \end{array}]$
2583	Simplifier la Matrice	[[3,5,2,0],[4,7,5,0],[1,1,-4,0],[2,9,6,0]]	$[\begin{array}{c} 3 & 5 & 2 & 0 \\ 4 & 7 & 5 & 0 \\ 1 & 1 & - 4 & 0 \\ 2 & 9 & 6 & 0 \end{array}]$
2584	Simplifier la Matrice	[[-4,3,-6],[0,2,7],[10,15,-3]]-2[[-1,2,4],[-2,0,3],[5,-6,1]]	$[\begin{array}{c} - 4 & 3 & - 6 \\ 0 & 2 & 7 \\ 10 & 15 & - 3 \end{array}] - 2 [\begin{array}{c} - 1 & 2 & 4 \\ - 2 & 0 & 3 \\ 5 & - 6 & 1 \end{array}]$
2585	Simplifier la Matrice	[[-6,4,3],[1,5,-7]]	$[\begin{array}{c} - 6 & 4 & 3 \\ 1 & 5 & - 7 \end{array}]$
2586	Simplifier la Matrice	[[m,n],[x,y]][[3,-1],[3,4]]	$[\begin{array}{c} m & n \\ x & y \end{array}] [\begin{array}{c} 3 & - 1 \\ 3 & 4 \end{array}]$
2587	Simplifier la Matrice	[[x,y,z,6],[x,-y,z,7]]	$[\begin{array}{c} x & y & z & 6 \\ x & - y & z & 7 \end{array}]$
2588	Trouver le déterminant	[[1,-2,3,-5,7],[2,0,-1,-5,6],[4,7,3,-9,4],[3,1,-2,-2,3],[-5,-1,3,7,-9]]	$[\begin{array}{c} 1 & - 2 & 3 & - 5 & 7 \\ 2 & 0 & - 1 & - 5 & 6 \\ 4 & 7 & 3 & - 9 & 4 \\ 3 & 1 & - 2 & - 2 & 3 \\ - 5 & - 1 & 3 & 7 & - 9 \end{array}]$
2589	Trouver le déterminant	[[1,2,3],[4,5,6],[5,7,9]]	$[\begin{array}{c} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 5 & 7 & 9 \end{array}]$
2590	Trouver le déterminant	[[1,-2,1],[5,-15,0],[4,-2,6]]	$[\begin{array}{c} 1 & - 2 & 1 \\ 5 & - 15 & 0 \\ 4 & - 2 & 6 \end{array}]$
2591	Trouver le déterminant	[[1,2,2,-4,-3],[4,9,0,-2,3],[0,0,1,0,-2],[0,0,2,1,3],[0,0,0,4,-4]]	$[\begin{array}{c} 1 & 2 & 2 & - 4 & - 3 \\ 4 & 9 & 0 & - 2 & 3 \\ 0 & 0 & 1 & 0 & - 2 \\ 0 & 0 & 2 & 1 & 3 \\ 0 & 0 & 0 & 4 & - 4 \end{array}]$
2592	Trouver le déterminant	[[1,1,1],[2,-1,3],[4,5,1]]	$[\begin{array}{c} 1 & 1 & 1 \\ 2 & - 1 & 3 \\ 4 & 5 & 1 \end{array}]$
2593	Trouver le déterminant	[[1,0,4],[4,1,9],[k,7,-4]]	$[\begin{array}{c} 1 & 0 & 4 \\ 4 & 1 & 9 \\ k & 7 & - 4 \end{array}]$
2594	Trouver le déterminant	[[1,1,0],[0,1,0],[0,0,0]]	$[\begin{array}{c} 1 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 0 \end{array}]$
2595	Trouver le déterminant	[[1,1,1],[0,0,1],[0,1,0]]	$[\begin{array}{c} 1 & 1 & 1 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{array}]$
2596	Trouver les variables	[[-12,-w^2],[2f,3]]=[[2k,-81],[-14,3]]	$[\begin{array}{c} - 12 & - w^{2} \\ 2 f & 3 \end{array}] = [\begin{array}{c} 2 k & - 81 \\ - 14 & 3 \end{array}]$
2597	Trouver le déterminant	[[0,2,2],[-1,6,-2],[6,2.2,8]]	$[\begin{array}{c} 0 & 2 & 2 \\ - 1 & 6 & - 2 \\ 6 & 2.2 & 8 \end{array}]$
2598	Trouver le déterminant	[[0,4,6],[3,5,4],[6,8,6]]	$[\begin{array}{c} 0 & 4 & 6 \\ 3 & 5 & 4 \\ 6 & 8 & 6 \end{array}]$
2599	Trouver le déterminant	[[0,cos(x),sin(x)],[0,-2cos(x)-sin(x),cos(x)-2sin(x)],[0,3cos(x)+4sin(x),-4cos(x)+3sin(x)]]	$[\begin{array}{c} 0 & \cos (x) & \sin (x) \\ 0 & - 2 \cos (x) - \sin (x) & \cos (x) - 2 \sin (x) \\ 0 & 3 \cos (x) + 4 \sin (x) & - 4 \cos (x) + 3 \sin (x) \end{array}]$
2600	Trouver le déterminant	[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]	$[\begin{array}{c} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{array}]$