Q5. 聽Perform the indicated matrix o... [FREE SOLUTION]

Chapter 4: Q5. (page 163)

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
5. $[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}]$

Short Answer

Expert verified

The final matrix after performing the indicated matrix operation is

$[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}] = [\begin{matrix} 1 & 10 \\ 鈭� 7 & 5 \end{matrix}]$ .

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 $[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}]$ , add corresponding elements of both the matrices.

$[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}] = [\begin{matrix} 3 鈭� 2 & 7 鈭� (鈭� 3) \\ 鈭� 2 鈭� 5 & 1 鈭� (鈭� 4) \end{matrix}]$

- Simplify the matrix

Further simplify the matrix by subtracting the elements.

$\begin{matrix} [\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}] = [\begin{matrix} 3 鈭� 2 & 7 鈭� (鈭� 3) \\ 鈭� 2 鈭� 5 & 1 鈭� (鈭� 4) \end{matrix}] \\ = [\begin{matrix} 1 & 10 \\ 鈭� 7 & 5 \end{matrix}] \end{matrix}$

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91影视

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
5. $[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}]$

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.5.37鈭�21鈭�2鈭�35鈭�4

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

Pure Maths

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
5. $[\begin{matrix} 3 & 7 \\ 鈭� 2 & 1 \end{matrix}] 鈭� [\begin{matrix} 2 & 鈭� 3 \\ 5 & 鈭� 4 \end{matrix}]$