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If a = 0 2 3 − 4 and Ka = 0 3 a 2 B 24 Then Find the Value of K,A and B - Mathematics

Question

Sum

If A = `[[0 , 2],[3, -4]]` and kA = `[[0 , 3"a"],[2"b", 24]]` then find the value of k,a and b.

Solution

Given,

kA = `[[0 , 3"a"],[2"b", 24]]`                                                  .....(i)

A = `[[0 , 2],[3, -4]]`, implies kA = `[[0 , 2"k"],[3"k", -4"k"]]`  .....(ii)

`[[0 , 2"k"],[3"k", -4"k"]] = [[0, 3"a"],[2"b" , 24]]`

- 4k = 24 ⇒ k = - 6

3a = 2k ⇒ a = - 4

2b = 3k ⇒ b = - 9

Concept: Types of Matrices
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