Using the below insights: obtain a matrix P such that if A is any matrix with 3 columns, AP is a cyclic shift of the columns of A (namely the first column of A is the second column of AP, second column of A is the third column of AP, and the third column of A becomes the first column of AP). # Let A = a-1, a-2, ..., a-n # x = x-1, x-2, ..., x-n # Ax = x-1*a-1 + x-2*a-2 + ... + x-n*a-n # [x1] [x1] # A = [x2] = [a1 a2 ... an]* [x2] = a1*x1 + a2*x2 + ... + an*xn # [...] [...] # [xn] [xn]

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Q: Giving A=[12 3 4;5 6 7 8; 9 10 11 12], extract a matrix B=[12 3;5 6 7;9 10 11] from A. *

A: A=[1 2 3 4;5 6 7 8; 9 10 11 12] % extract a matrix from 'A' B=A(1:3, 1:3)

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A: Introduction

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A:

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Q: 3

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A:

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A: proof

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Q: 0 1 0 0 00 0 1 00 1 1 00 00 1 -0 0 1 0 1. 01 0 0.

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A:

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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.