Show that the product of two orthogonal matrices is orthogonal.

Q: Find a base for the line space of the matrix and determine the line rank.

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Q: elementary

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Q: Show that the inverse of an invertible lower triangular matrix is lower triangular

A: Given : The matrix A is an invertible lower triangular matrix Then we have to show that A-1 is…

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: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we…

Q: Explain  column vector of m x 1 matrix?

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Q: Suppose that A and B are invertible 2 x 2 matrices such that det(AT) = 2 and det(B) = -2. Let x ER…

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Q: 1. Find the general solution of the differential equation 9 dy dx when (a) r(x) = 0; (b) r(x) = ex;…

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Q: Prove that the inverse of an orthogonal matrix is orthogonal.

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Q: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

Q: If A + 0 and B+ 0 are square matrices of the same order, then AB + 0.

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Q: Use the definition of Ax to write the vector equation as a matrix equation -2 + Z2 - 5 3 +Z4 2 4 Z1…

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