b) Consider the following system of linear equation: y+rz = s x-2y+z=5 x+ y+z =1 What is the value of r and s, if the system (i) Has no solution Has infinitely many solutions (iii) Has unique solution (ii)

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Q: Multiplication of 3 by 3 matrices

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Q: Let A₁, A2, and A3 be matrices such that det (A₁) = -3, det (A₂): det (A₁ A2 A3) = Number = 4, and…

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Q: upper triangular matrix is upper triangular (Use matrix transposition)

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Q: MAtrix of 2,5,3,4

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Q: Are zero matrices also called diagonal matrices 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

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Q: OF 1 -1 -1 -2 2-1 2 3 0 1 -3 4 0 1 -4 No, the columns of this matrix are linearly dependent O Yes,…

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Q: If A and B are any 2 x 2 matrices, then AB = BA True O False

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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.