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Linear Algebra Examples
Popular Problems
Linear Algebra
Find the Determinant det [[-5,x],[6,1]]
det
[
−
5
x
6
1
]
[
-
5
x
6
1
]
Step 1
The determinant of a
2
×
2
2
×
2
matrix
can be found using the
formula
∣
∣
∣
a
b
c
d
∣
∣
∣
=
a
d
−
c
b
|
a
b
c
d
|
=
a
d
-
c
b
.
−
5
⋅
1
−
6
x
-
5
⋅
1
-
6
x
Step 2
Multiply
−
5
-
5
by
1
1
.
−
5
−
6
x
-
5
-
6
x
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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