Let T1 and T2 be linear transformations given by X1 Зx1 + 5x2 X2 -2x1 + 8x2 X1 -2x1 + 9x2 X2 5x2 Find the matrix A such that the following is true. (a) T1(T2(x)) = Ax A = (b) T2(T1(x)) = Ax A = (c) T1(T1(x)) = Ax A =

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Q: If A = 6. B= [-3 , 2] and C = what is the %3D 3 -2 determinant of (AB – 2C)" ? |

A: Given that  The matrices  To find the (AB-2C)^T

Q: [x__3y] [x_2y_ 9. Find the inverse of the matrix:

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Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

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Q: For square matrix A, if its first row equals 5 times the third row, then its determinant is 0. True…

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Q: (a) Show that the jth column of the matrix product AB is equal to the matrix product Ab;, where b;…

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Q: (c) Consider the quadratic form f(x1, x2, x3) = 3(a₁x₁ + a2x2 + a3x3)² = 4(b₁x₁ + b₂x2 + b3x3)². (i)…

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Q: Show your work!

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Q: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

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Q: Let T: R2→R? be a linear transformation such that T (x1 X2) = (x1 +X2, 3x, + 2x2). Find x such that…

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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.