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Chapter 9: Problem 77
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I added matrices of the same order by adding corresponding elements.
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Find (if possible) the following matrices: a. \(A B\) b. \(B A\) $$ A=\left[\begin{array}{ll} {1} & {3} \\ {5} & {3} \end{array}\right], \quad B=\left[\begin{array}{rr} {3} & {-2} \\ {-1} & {6} \end{array}\right] $$
Solve: \(\quad 3^{2 x-8}=27 .\) (Section \(4.4,\) Example 1 )
Determine whether each statement makes sense or does not make sense, and explain your reasoning. Matrix row operations remind me of what I did when solving a linear system by the addition method, although I no longer write the variables.
Let $$ \begin{aligned} A &=\left[\begin{array}{cc} {1} & {0} \\ {0} & {1} \end{array}\right], \quad B=\left[\begin{array}{rr} {1} & {0} \\ {0} & {-1} \end{array}\right], \quad C=\left[\begin{array}{rr} {-1} & {0} \\ {0} & {1} \end{array}\right] \\ D &=\left[\begin{array}{rr} {-1} & {0} \\ {0} & {-1} \end{array}\right] \end{aligned} $$ Find the product of the sum of A and B and the difference between C and D.
Find (if possible) the following matrices: a. \(A B\) b. \(B A\) $$ A=\left[\begin{array}{llll} {1} & {2} & {3} & {4} \end{array}\right], \quad B=\left[\begin{array}{l} {1} \\ {2} \\ {3} \\ {4} \end{array}\right] $$
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