#### 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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