Let A = [ - (a) Find eigenvalues and corresponding eigenvectors. (b) Find a nonsingular matrix P such that D = P-1AP i diagonal. (c) Find A6 and f(A) where f(t) = t* – 5t³ + 7t² – 2t + 5. (d) Find a matrix B such that B² = A. -

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A: Topic:- algebra

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A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.