7. Systems of Equations & Matrices

Introduction to Matrices

Textbook Question
In Exercises 9 - 16, find the following matrices: d. - 3A + 2B
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Textbook Question
In Exercises 9 - 16, find the following matrices: d. - 3A + 2B
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Textbook Question
In Exercises 9 - 16, find the following matrices: b. A - B
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Textbook Question
In Exercises 9 - 16, find the following matrices: a. A + B
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Textbook Question
In Exercises 9 - 16, find the following matrices: b. A - B
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Textbook Question
In Exercises 9 - 16, find the following matrices: c. - 4A
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Textbook Question
Let $A = [\begin{matrix} - 3 & - 7 \\ 2 & - 9 \\ 5 & 0 \end{matrix}]$ and $B = [\begin{matrix} - 5 & - 1 \\ 0 & 0 \\ 3 & - 4 \end{matrix}]$ Solve each matrix equation for X. X - A = B
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Textbook Question
Let $A = [\begin{matrix} - 3 & - 7 \\ 2 & - 9 \\ 5 & 0 \end{matrix}]$ and $B = [\begin{matrix} - 5 & - 1 \\ 0 & 0 \\ 3 & - 4 \end{matrix}]$ . Solve each matrix equation for X. 3X + 2A = B
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Textbook Question
Let $A = [\begin{matrix} - 3 & - 7 \\ 2 & - 9 \\ 5 & 0 \end{matrix}]$ and $B = [\begin{matrix} - 5 & - 1 \\ 0 & 0 \\ 3 & - 4 \end{matrix}]$ . Solve each matrix equation for X. B - X = 4A
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Textbook Question
Let $A = [\begin{matrix} - 3 & - 7 \\ 2 & - 9 \\ 5 & 0 \end{matrix}]$ and $B = [\begin{matrix} - 5 & - 1 \\ 0 & 0 \\ 3 & - 4 \end{matrix}]$ . Solve each matrix equation for X. 4A + 3B = - 2X
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Textbook Question
In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 3 3 - 2 A = B = 5 3 - 1 6
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Textbook Question
In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 - 1 4 1 1 0 A = 4 - 1 3 B = 1 2 4 2 0 - 2 1 - 1 3
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Textbook Question
In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 2 - 3 1 - 1 - 1 1 A = B = 1 1 - 2 1 5 4 10 5
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Textbook Question
Perform the indicated matrix operations given that A, B and C are defined as follows. If an operation is not defined, state the reason.
$A = [\begin{matrix} 4 & 0 \\ - 3 & 5 \\ 0 & 1 \end{matrix}], B = [\begin{matrix} 5 & 1 \\ - 2 & - 2 \end{matrix}], C = [\begin{matrix} 1 & - 1 \\ - 1 & 1 \end{matrix}]$
4B - 3C
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Textbook Question
Perform the indicated matrix operations given that A, B and C are defined as follows. If an operation is not defined, state the reason.
$A = [\begin{matrix} 4 & 0 \\ - 3 & 5 \\ 0 & 1 \end{matrix}], B = [\begin{matrix} 5 & 1 \\ - 2 & - 2 \end{matrix}], C = [\begin{matrix} 1 & - 1 \\ - 1 & 1 \end{matrix}]$
BC + CB
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