Let F:R2 → R² be defined by F (x, y) (a) Find the matrix A representing F in the usual basis E. (b) Find the matrix B representing F in the basis S {(1,4), (2,9))}. (c) Find P such that B = P-1AP. (4x + 5y, 2x – y). [u1, uz] = %3D

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A: Topic:- algebra

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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.