Which of the following statement is false? Select one: O A. If A is a non-square matrix, A is diagonalizable if there is a non-singular matrix P where B = P AP is a diagonal O B. Iff is a polynomial, for a square matrix A, (kf)(A) = k f(A) OC. No matrix is a root of its characteristic polynomial O D. Any two polynomials in a square matrix is commutative O E.A square matrix A is a root of a polynomial f(t), if f(A) =0

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A: a) Consider that A is a square matrix, then A+AT is a symmetric matrix. A matrix is a symmetric…

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A: Step 1:Step 2:Step 3:Step 4:

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A: The answer is in step 2

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A: Let us consider a matrix A=-4-300-14103546-7-3-9 First we will show that columns of matrix are…

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Q: If A is a matrix such that

A: Given:  A-1=12-1-324 To determine: The value of matrix A.

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A: Matrix multiplication, is not communicative under multiplication.

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Q: Associated with every square matrix A is a real number denoted by |A| called the __________ of A .

A: |A| denotes the determinant of a matrix A. Hence,

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Q: Determine if the following matrix is invertible. If so, compute the inverse of Го 1 200 0 5 0

A: The given matrix,The aim is to find the inverse matrix if it is invertible.