a) If A is a square matrix satisfying A2 = 0, then A = 0. b) If A is a sqaure matrix satisfying A2=A, then A = + I or A = 0 c) There is a sqaure matrix A (of any dimention) such that A2 = -I True or false, please provide a complete explanation.

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A: a) DTb) Upper triangular matrix.Explanation:

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Q: 2. Let A be the matrix shown below A = [22] :) Find the matrix P that diagonalizes A.

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A: Here both expression doesnot exist which detailed solution given below

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A: Sort explanation2.The matrix 𝐴T𝐴 is non-singular The matrix A^T A is a square N x N matrix…

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A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

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A: Here, the given A=A1, A2, A3 be a 3×3 matrix and set  B=2003-10134.

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A: With the given condition we will try to find the Matrix.

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A: We are given v⇀,w⇀and a Matrix A such that Av⇀=v⇀, Aw⇀=w⇀ and v⇀×w→≠0. Since the cross product of…