show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is generally not commulative

Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

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Q: The nth order permutation matrix refers to an n × n matrix in which each column and row has exactly…

A: The series expansion of exponential function is given by ex=1+x1!+x22!+x33!+... This series also…

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: Define is subtraction of matrices commutative  and associative?

A: Consider three matrix A, B and C respectively.

Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: Construct the augmented matrix

A: We first write the given equations in standard form

Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: Suppose we are given A E Mmxn(C). How do the singular values of A relate to those of its adjoint, A*…

A: Please check step 2 for the solution.!

Q: What is the algorithm for solving algebraic matrices?

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Q: Find the matrices of the two similarities taking (0, 0, 1) to (-2, 4, 1) and taking (1, 0, 1) to (0,…

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Q: Define Similar Matrices.

A: Similar Matrices: Let A and B are two square matrices, then A is said to be similar to B if there…

Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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Q: Define Hilbert matrix.

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Q: Factor these two matrices into A = XAX-¹: 4 = 3 A [

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