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Let a = `[(0,1),(0,0)]`Show that (Ai+Ba)N = Ani + Nan-1 Ba , Where I Is the Identity Matrix of Order 2 And N ∈ N - Mathematics

Let A = `[(0,1),(0,0)]`show that (aI+bA)n  = anI + nan-1 bA , where I is the identity matrix of order 2 and n ∈ N

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Solution

It is given that  A = `[(0,1),(0,0)]`

Concept: Types of Matrices
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Chapter 3: Matrices [Page 100]
Q 1
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NCERT Class 12 Maths
Chapter 3 Matrices
Q 1 | Page 100
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