Question
Let$$A=\left[\begin{array}{rr}{-3} & {-7} \\{2} & {-9} \\{5} & {0}\end{array}\right] \text { and } B=\left[\begin{array}{rr}{-5} & {-1} \\{0} & {0} \\{3} & {-4}\end{array}\right]$$Solve each matrix equation for X.$$3 X+2 A=B$$
Step 1
We are asked to find the matrix X such that the equation 3X + 2A = B holds. The matrices A and B are of order 3x2, so the matrix X will also be of the same order. Let's denote the elements of X as a, b, c, d, e, f. So, X can be written Show more…
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Let $$ A=\left[\begin{array}{rr} {-3} & {-7} \\ {2} & {-9} \\ {5} & {0} \end{array}\right] \text { and } B=\left[\begin{array}{rr} {-5} & {-1} \\ {0} & {0} \\ {3} & {-4} \end{array}\right] $$ Solve each matrix equation for X. $$ 3 X+A=B $$
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Let $$ A=\left[\begin{array}{rr} {-3} & {-7} \\ {2} & {-9} \\ {5} & {0} \end{array}\right] \text { and } B=\left[\begin{array}{rr} {-5} & {-1} \\ {0} & {0} \\ {3} & {-4} \end{array}\right] $$ Solve each matrix equation for X. $$ 2 X+A=B $$
Let $$ A=\left[\begin{array}{rr} {-3} & {-7} \\ {2} & {-9} \\ {5} & {0} \end{array}\right] \text { and } B=\left[\begin{array}{rr} {-5} & {-1} \\ {0} & {0} \\ {3} & {-4} \end{array}\right] $$ Solve each matrix equation for X. $$ 4 B+3 A=-2 X $$
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