Chapter 4: Q15. (page 164)

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
14. $[\begin{matrix} - 5 & 7 \\ 6 & 8 \end{matrix}] - [\begin{matrix} 4 & 0 & - 2 \\ 9 & 0 & 1 \end{matrix}]$

Short Answer

Expert verified

Impossible, since the subtraction of the matrices is $[\begin{matrix} - 5 & 7 \\ 6 & 8 \end{matrix}] - [\begin{matrix} 4 & 0 & - 2 \\ 9 & 0 & 1 \end{matrix}]$ doesn’t exist.

Step by step solution

- Define concept of matrix addition

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

- Represent matrix subtraction in symbols

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

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

- Perform the matrix subtraction, if possible

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

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Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
14. $[\begin{matrix} - 5 & 7 \\ 6 & 8 \end{matrix}] - [\begin{matrix} 4 & 0 & - 2 \\ 9 & 0 & 1 \end{matrix}]$

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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Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.14. −5768−40−2901

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

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Logic and Functions

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation. If the matrix doesn’t exist, write impossible.
14. $[\begin{matrix} - 5 & 7 \\ 6 & 8 \end{matrix}] - [\begin{matrix} 4 & 0 & - 2 \\ 9 & 0 & 1 \end{matrix}]$