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 `(a I+b A)^n=a^n I+n a^(n-1)b A` , where I is the identity matrix of...

Let A = [R1 0 1 & R2 0 0], show that (aI + bA)^n = (a^n)I + na^(n-1)bA, where I is the identity

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...

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

Let A=[00​10​], show that (aI+bA)n=anI+nan−1bA, where I is the identity matrix of order 2 and n∈N

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

Let A = [(α&-1@6&β)],α0, such that det(A) = 0 and α+β = 1. If I denotes 2×2 identity matrix, the

Prove that a^n - b^n ﹤ (a-b)na^n-1 (given a ﹥ b ﹥ 0 and any integer n ﹥ 1) [ILIEKMATHPHYSICS]