Let e ,e2, ez denote, respectively, the following elementary row operations: "Interchange R, and R3," "Replace R, by 3R,," "Replace R, by 2R3 +R;" (a) Find the corresponding elementary matrices E , E2, Ey. (b) Find the inverse operations e-', e,', ez'; their corresponding elementary matrices E, E, E; and the relationship between them and Ej, E2, E3. (c) Describe the corresponding elementary column operations f1,f2 f3. (d) Find elementary matrices F1, F2, F3 corresponding to fi,f2,f3, and the relationship between them and E1, E2 , E3.

Q: only HANDWRITTEN answer needed ( NOT TYPED)

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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.