Q15. Perform the indicated matrix ope... [FREE SOLUTION]

Chapter 4: Q15. (page 164)

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
14. $[\begin{matrix} 鈭� 5 & 7 \\ 6 & 8 \end{matrix}] 鈭� [\begin{matrix} 4 & 0 & 鈭� 2 \\ 9 & 0 & 1 \end{matrix}]$

Short Answer

Expert verified

Impossible, since the subtraction of the matrices is $[\begin{matrix} 鈭� 5 & 7 \\ 6 & 8 \end{matrix}] 鈭� [\begin{matrix} 4 & 0 & 鈭� 2 \\ 9 & 0 & 1 \end{matrix}]$ doesn鈥檛 exist.

Step by step solution

- Define concept of matrix addition

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.

- Represent matrix subtraction in symbols

In order to find $[\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] 鈭� [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}]$ , add corresponding elements of both the matrices.

$[\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] 鈭� [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}] = [\begin{matrix} a 鈭� p & b 鈭� q & c 鈭� r \\ d 鈭� s & e 鈭� t & f 鈭� u \\ g 鈭� v & h 鈭� w & i 鈭� x \end{matrix}]$

- Perform the matrix subtraction, if possible

Since the dimension of the matrix is and dimension of matrix $[\begin{matrix} 鈭� 5 & 7 \\ 6 & 8 \end{matrix}]$ is $2 脳 2$ therefore, matrix subtraction $[\begin{matrix} 4 & 0 & 鈭� 2 \\ 9 & 0 & 1 \end{matrix}]$ is $2 脳 3$ not possible since the dimension of the matrix is not same.

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Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
14. $[\begin{matrix} 鈭� 5 & 7 \\ 6 & 8 \end{matrix}] 鈭� [\begin{matrix} 4 & 0 & 鈭� 2 \\ 9 & 0 & 1 \end{matrix}]$

Short Answer

Step by step solution

- Define concept of matrix addition

- Represent matrix subtraction in symbols

- Perform the matrix subtraction, if possible

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91影视

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.14. 鈭�5768鈭�40鈭�2901

Short Answer

Step by step solution

- Define concept of matrix addition

- Represent matrix subtraction in symbols

- Perform the matrix subtraction, if possible

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn鈥檛 exist, write impossible.
14. $[\begin{matrix} 鈭� 5 & 7 \\ 6 & 8 \end{matrix}] 鈭� [\begin{matrix} 4 & 0 & 鈭� 2 \\ 9 & 0 & 1 \end{matrix}]$