Q4) generate random matrix A with size 5*5 and find a) Determinant of A b) Min. and max entry of matrix c) eigenvalues and eigenvectors of A d) is A positive-Definite Matrices

Q: Consider a matrix A = a C where a, b, c are real numbers such that abc = 1 and a² + b² + c? = 3. (a)…

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Q: Show that the matrix is skew – Hermitian and hence find the eigen Values and eigen vectors

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Q: Orthogonally diagonalize the matrix A = " 3 4 4 9  . That means to find an orthogonal matrix U and a…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: Show that if A has n linearly independent eigenvectors, then so does A¹.

A: We have to show if Ahas n Linearly independent eigenvector  then so does AT

Q: * Find the Matrix B from order 2 x 4 , Its elements are written in the form by = i + ()

A: Here we find matrix B of order 2×4

Q: Explain how to determine whether any matrix A is Diagonalizable using (a). Eigen vectors , (b).…

A: To check whether a Matrix is Diagonalizable following statements may  be used

Q: Qi/ Find the eigen values and the assotiated eigen vectors of the following matrix: [5 7 -5] A = 0 4…

A: Using charectristic equation A-lembda i=0

Q: a) Compute the adjugate of the given matrix A and then compute the inverse of the matrix 1 0 2 A = 4…

A: We have to find the adjugate of the matrix A. We know that the adjugate is the synonym of the…

Q: Suppose that A is symmetric matrix which has eigenvalues -1, 0 and 1 and corresponding eigenvectors…

A: We have to determine a matrix P which orthogonally diagonalizes A and compute A100.