Q16. Perform the indicated matrix ope... [FREE SOLUTION]

Chapter 4: Q16. (page 164)

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}]$

Short Answer

Expert verified

The final matrix after performing the indicated matrix operation is

$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}] = [\begin{matrix} 15 & 0 & 4 \\ 0 & 13 & 鈭� 5 \end{matrix}] .$

Step by step solution

- Define concept of matrix subtraction

If A and B are two matrices of order $m 脳 n$ , then the subtraction of the two matrices will also yield a matrix of order $m 脳 n$ wherein each element is the difference of the corresponding elements.

- Subtract corresponding elements

In order to find $[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}]$ , subtract corresponding elements of both the matrices.

$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}] = [\begin{matrix} 12 鈭� (鈭� 3) & 0 鈭� 0 & 8 鈭� 4 \\ 9 鈭� 9 & 15 鈭� 2 & 鈭� 11 鈭� (鈭� 6) \end{matrix}]$

- Simplify the matrix

Further simplify the matrix by subtracting the elements.

$\begin{matrix} [\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}] = [\begin{matrix} 12 鈭� (鈭� 3) & 0 鈭� 0 & 8 鈭� 4 \\ 9 鈭� 9 & 15 鈭� 2 & 鈭� 11 鈭� (鈭� 6) \end{matrix}] \\ = [\begin{matrix} 15 & 0 & 4 \\ 0 & 13 & 鈭� 5 \end{matrix}] \end{matrix}$

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91影视

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}]$

Short Answer

Step by step solution

- Define concept of matrix subtraction

- Subtract corresponding elements

- Simplify the matrix

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91影视

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.1208915鈭�11鈭�鈭�30492鈭�6

Short Answer

Step by step solution

- Define concept of matrix subtraction

- Subtract corresponding elements

- Simplify the matrix

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Decision Maths

Mechanics Maths

Statistics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
$[\begin{matrix} 12 & 0 & 8 \\ 9 & 15 & 鈭� 11 \end{matrix}] 鈭� [\begin{matrix} 鈭� 3 & 0 & 4 \\ 9 & 2 & 鈭� 6 \end{matrix}]$