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-9 8 -83 Let A= and B= 6 3 -9 9 Find -4A+3B.

-9 8 -83 Let A= and B= 6 3 -9 9 Find -4A+3B.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-9 8 -83 Let A = and B= 6 3 -9 9 Find -4A+3B. -4A + 3B =
Transcribed Image Text:-9 8 -83 Let A = and B= 6 3 -9 9 Find -4A+3B. -4A + 3B =
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Step 1

The scalar multiplication is a significant matrix operation. When a scalar is multiplied with a matrix, it is actually multiplied with each and every entry in the matrix. When two matrices have the same order, they can be added. For two m×n matrices A and B, their addition is the matrix of order m×n. The resultant matrix is defined as

Cij=A+Bij=Aij+Bij

Here, two matrices are given. We find another matrix through scalar multiplication and addition. 

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