#11 Sbowdal.coch of tbe following matrioes A can be disgonalizxod. Freach mtix A find an invertible matrix Snda daconal matrix D such that A-SDS () (3) (b) 410. Show tbst each of the following matrices cannot be diagoualized. (a A-( ) A- (a) A= (b) A 4. 0

Q: Use the following matrix. 10-2 3 2 A = 1 40 3 ? What is the element a 31? a31

A: The given matrix is A=10-2321403. We have to find the element a31.

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A: Given square matrices A and B.  To identify correct statement from given question.

Q: Let A and B be two square matrices of the same size. Suppose B is singular. Explain why AB is also…

A: Given Information: A and B are two square matrices of same size. Suppose B is singular. To show: AB…

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

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Q: Can the following matrix be diagnolized? 2 -1 0 2

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: 4 -1 If A = 3 3 and B = -3 find 1 -1 -2 A ·B, if possible.

A: For the multiplication , the number of column of first matrix must equal to the number of row of…

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

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Q: fınd the inverse of the matrix A

A: 4404110-130-3161436-1Augment with a 4x4 identity matrix=4404∣ 1000110-1∣ 010030-31∣ 001061436∣…

Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: 2. Compute both AB and BA for the following matrices, and observe that AB + BA: -1 [] B= B-[83] and

A: To compute AB and BA for the following matrices, and to observe that .

Q: If AB + BA is defined, then A and B are square matrices of the same size. True False

A: Given AB + BA is defined.

Q: Determine whether or not the following sets Sof 2 x 2 matrices are linearly independent. Select an…

A: Note: As multiple questions have been asked, so only first question 1 has been solved according to…

Q: 1. Determine whether the following statement is True or False. Explain why in 1-2 sentences. Let A…

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Q: Use the following matrices to compute C(A-B). 4 1 02-3 5 1 B = 4 A= C = 53 1 3 -6 4 -3 -3 4 C(A-B)=|

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Q: 3. Find the QR-factorization of the following matrices (show all of your work): [1 1 (a) 2 3 (b) 1 3…

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