XII Matrices If A = [0 1 0 0] prove that (aI + bA)^n = a^n I + na^n-1 b A where n is an integer

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If `A=[0 1 0 0]` , prove that `(a I+b A)^n=a^n\\ I+n a^(n-1)\\ b A` where `I` is a unit matrix o...

Let `A=[0 1 0 0]` show that `(a I+b A)^n=a^n I+n a^(n-1)b A` , where I is the identity matrix of...

Let `A=[0 1 0 0]` show that `(a I+b A)^n=a^n I+n a^(n-1)b A` , where I is the identity matrix of...

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Let `A = [[0,1],[0,0]]` , show that `(aI + bA)^n = a^nI + na^(n-1) bA`, | Class 12 Maths | Doubtnut

if `A=[[0,1],[0,0]]` then show that `(aI+bA)^3=a^3I+3a^2bA.`