Let $$A=a$$ bc d,a,b,c,d∈R If $$A5=A3+I$$, then A is

Correct option is 3an invertible matrix

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Let $A = [\begin{array}{ll} a b \\ c d \end{array}], a, b, c, d \in R$ If $A^{5} = A^{3} + I$ , then A is

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Correct option is C

A5=A3+I⇒ AA4−A2=A4−A2A=I⇒ A is invertible andA−1=A4−A2.

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Let A=a bc d,a,b,c,d∈R If A5=A3+I, then A is

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Ready to Test Your Skills?

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Let $A = [\begin{array}{ll} a b \\ c d \end{array}], a, b, c, d \in R$ If $A^{5} = A^{3} + I$ , then A is