Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

Q: Use row operations to change the matrix to reduced form. 1 1 1 15 3 4 6 20 12 1 1 1 15 3 4 6 20

A: Please see the attached image for the solution.   If there are queries or if the image is not…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A₂, and A3…

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Q: -I 1

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: rite the third column of the matrix as a linear combination of the first two columns, if possible.…

A: We want to write third column of the matrix in linear combination of first two column of matrix.

Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

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Q: Show that the matrix A is positive definite A = 2 1 12

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Q: 1. Consider the matrices A = G ), B = (,) and C= (-1 0 5) (a) Evaluate (AB)C and A(BC). Check that…

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Q: Solve the system of equations using the inverse of the coefficient matrix of the equivalent matrix…

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Q: Find the inverse of the matrix by hand. Show your work. 2 A=0 2 1-3] -1 1 3 3

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Q: 5 0 0 0 A = 1 4 -3 -1 -2 0 -3

A: A IS DIAGONALIZABLE.

Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: he transformed matrix is 0 1-2 (Simplify your answers.)

A: given matrix is :-112017-2then we have to change the first row by adding to it  -12  times the…

Q: 32x+y -1 526 -1 x+4y 10

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Q: A Q 9) Find the inverse of the matrix using elementary row operations on the augmented matrix. 1 2 1…

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Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: = [₁ Construct a 2 x 2 matrix B such that - AB is the zero matrix. Use two different nonzero columns…

A: The given matrix .To construct a matrix such that is the zero matrix.