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Chapter 6: Q53. (page 391)

Perform the indicated matrix operation.

[5−84−62−9]−[6−4−3821]

Short Answer

Expert verified

The addition of the matrices is[5−84−62−9]−[6−4−3821]=[−1−47−140−10].

Step by step solution

01

Step 1. Define the concept of matrix subtraction.

If Aand B are two matrices of order m×n, then the subtraction of the two matrices will also yield a matrix of orderm×n wherein each element is the difference of the corresponding elements.

02

Step 2. Subtract corresponding elements.

In order to find 5−84−62−9−6−4−3821, subtract corresponding elements of both the matrices.

5−84−62−9−6−4−3821=5−6−8−(−4)4−(−3)−6−82−2−9−1

03

Step 3. Simplify the matrix.

Further simplify the matrix by subtracting the elements.

5−84−62−9−6−4−3821=5−6−8−(−4)4−(−3)−6−82−2−9−1=−1−47−140−10

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