Compute the matrix (BA')', if it exists, when the following matrices are given. - 1 1 A = -1 0 B= 0 -1 1 - 1 - 1

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Q: [3 Compute the natrix exponential e4t for the diagonal matrix A = !!

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Q: 2. For the matrix 2 2 -1 B -3 3 find its Pseduoinverse Bt and the 2-norm ||B*||2.

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Q: Consider the following matrix A, where 0 -4 -6 0 -3 A = -1 1 2 5 Find an invertible matrix P and a…

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Q: Express the following matrix as a product of several elemen- tary matrices. 1 3 E 2 3 ||

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 - 4 2 - 8 2 - 1 A = 10 8…

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Q: Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

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Q: Compute the matrix exponential e At for the system x' = Ax given below. x'1 = 35x1 - 34x2, x'2 =…

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Q: 2 : Find the inverse of the matrix 1 -1 A = 2 -() 3 1 with using the Cayley-Hamilton theorem.

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Q: If the eigen vectors of a 2 x 2 matrix A corresponding to the eiger -- 2 respectively then the…

A: The Eigen vector corresponding to Eigen value -1 is 11 The Eigen vector corresponding to Eigen value…

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Q: If A,B are n x n matrices , suppose  A and B have the same eigenvalues with n linearly independent…

A: Answer: True.

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Q: Use the method of Example 6 to compute the matrix A10, where 1 0 A = -3 2

A: The given matrix is A=10-32. Observe that, A2=10-32 10-32=10-94=10-3·22-122A3=10-94…

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Q: The eigenvalues of a 4 x 4 matrix A are given by 2,-1,5,-4, then det(A)=

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Q: If matrix A and matrix B are similar, then A and B have the same eigenvectors- O True O False

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Q: For matrices A and B with B invertible AB and BA have the same eigenvalues.

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Q: Find value(s) of ß for which the matrix A is singular. —3 - в |-2 B 1 1

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Q: Consider the matrix -1 3 containing the eigienvectors for the coefficient matrix 0.978 -0.006 0.004…

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Q: If A is an nxn matrix, then the eigenvalues can be determined by

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Q: If A is a 3 × 3 matrix which has eigenvalues 2 = 10, 1 = -2, and 2 = -3. Then A is diagonalizable…

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Q: Using only 0's and l's, find the number n of possible 3 x 3 matrices in row canonical form.

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Q: give the rank and th e nullity of the matrices in the given exercises.

A: Given matrix is,

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Q: Which of the following matrices is positive definite?

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Q: It is possible for a 3 x 3 matrix A with eigenvalues 2 = 3,-3+i,-2+i. 10

A: Need to find true false

Q: 2. Find a single matrix equal to [1 - i 1+0, where i = √-1 (imaginary unit).

A: To find the product of the given 3 matrices.

Q: • The Matrix B from 3 x 2 at b, = -1+; is го 1. 2.

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Q: Let A be the 2 x 2 matrix with elements a,, a12 = a21 = + 1 and a,, = - 1. Then the %3D eigenvalues…

A: Introduction :Given , a matrix A with elements and we have asked for the eigen values of matrix A19

Q: Let A be a 3x3 matrix with eigenvalues 1,-1,3. Then which of the following is non-singular matrix…

A: According to the problem A is a 3×3 matrix with eigenvalues 1 , -1 ,3For example consider   A…