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If A = {pmatrix}2 &5a -3 & 1{pmatrix} and A doesn't have mult

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If $A =$ $(2 - 3 5 a 1)$ and $A$ doesn't have multiplicative inverse, then find $A$ .

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A =

(2 - 3 5 a 1)

and

A

doesn't have multiplicative inverse, then find

A

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Text solutionVerified

∴ ∣ A ∣ = 0 \Rightarrow ∣ ∣ 2 - 3 5 a 1 ∣ ∣ = 0

= 2 \times 1 - 5 a (- 3) = 0

\Rightarrow 2 + 15 a = 0

\Rightarrow a = - 2/15

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Question Text	If $A =$ $(2 - 3 5 a 1)$ and $A$ doesn't have multiplicative inverse, then find $A$ .
Answer Type	Text solution:1
Upvotes	150