Chapter 6: Q53. (page 391)

Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}]$

Short Answer

Expert verified

The addition of the matrices is $[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}] = [\begin{matrix} - 1 & - 4 & 7 \\ - 14 & 0 & - 10 \end{matrix}]$ .

Step by step solution

Step 1. Define the concept of matrix subtraction.

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.

Step 2. Subtract corresponding elements.

In order to find $[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}]$ , subtract corresponding elements of both the matrices.

$[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}] = [\begin{matrix} 5 - 6 & - 8 - (- 4) & 4 - (- 3) \\ - 6 - 8 & 2 - 2 & - 9 - 1 \end{matrix}]$

Step 3. Simplify the matrix.

Further simplify the matrix by subtracting the elements.

$\begin{matrix} [\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}] = [\begin{matrix} 5 - 6 & - 8 - (- 4) & 4 - (- 3) \\ - 6 - 8 & 2 - 2 & - 9 - 1 \end{matrix}] \\ = [\begin{matrix} - 1 & - 4 & 7 \\ - 14 & 0 & - 10 \end{matrix}] \end{matrix}$

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Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Define the concept of matrix subtraction.

Step 2. Subtract corresponding elements.

Step 3. Simplify the matrix.

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Perform the indicated matrix operation.[5−84−62−9]−[6−4−3821]

Short Answer

Step by step solution

Step 1. Define the concept of matrix subtraction.

Step 2. Subtract corresponding elements.

Step 3. Simplify the matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Logic and Functions

Decision Maths

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation.
$[\begin{matrix} 5 & - 8 & 4 \\ - 6 & 2 & - 9 \end{matrix}] - [\begin{matrix} 6 & - 4 & - 3 \\ 8 & 2 & 1 \end{matrix}]$