Linear Algebra Examples

$5 a - 3 b - 2 c$ , $a - 3 b + 2 c + 4$ , $a + 3 b - 4 c$

Step 1

Add the expressions.

$5 a - 3 b - 2 c + a - 3 b + 2 c + 4 + a + 3 b - 4 c$

Step 2

Combine the opposite terms in $5 a - 3 b - 2 c + a - 3 b + 2 c + 4 + a + 3 b - 4 c$ .

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Step 2.1

Add $- 2 c$ and $2 c$ .

$5 a - 3 b + a - 3 b + 0 + 4 + a + 3 b - 4 c$

Step 2.2

Add $5 a - 3 b + a - 3 b$ and $0$ .

$5 a - 3 b + a - 3 b + 4 + a + 3 b - 4 c$

Step 2.3

Add $- 3 b$ and $3 b$ .

$5 a + a - 3 b + 4 + a + 0 - 4 c$

Step 2.4

Add $5 a + a - 3 b + 4 + a$ and $0$ .

$5 a + a - 3 b + 4 + a - 4 c$

Step 3

Add $5 a$ and $a$ .

$6 a - 3 b + 4 + a - 4 c$

Step 4

Add $6 a$ and $a$ .

$7 a - 3 b + 4 - 4 c$

Step 5

Move $4$ .

$7 a - 3 b - 4 c + 4$