If A and B are n × n diagonal matrices, show that AB = BA.

Q: if A and B are matrices and K is a scalar

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Q: Given the matrices X + A = B. A =

A: Given that -1/3X+A=B

Q: If A and B are matrices with the same dimension and k is a real number, how do you find A + B and…

A: Given that, A and B are matrices with the same dimension and k is a real number.  The objective is…

Q: Find the products AB and BA for the diagonal matrices.

A: Given matrix:

Q: Due to what property, applied to the matrices below, do we know that A + B = B + A?

A: Due to Commutative Property Of Addition of matrices, we can say that: A+B=B+A. Where, A,B,C are…

Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

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Q: If the RREF of All is || B, then AB is the identity matrix. A) True B False

A: Given: The row reduces echelon form is A:I is I:B. We have to check whether AB is the identity…

Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

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Q: Identify that the given matrix is Diagonalisable or not: -2 A = 2 6 -1 1 5.

A: It is diagonalisable

Q: Show AB + BA for the indicated matrices. A= 2 3] B = -1

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Q: If A and B are matrices 3 x 3 order with 12A| = -1 and |2B³| = 16, then calculate |A-1B"|.

A: Here, A and B both are of the order 3×3. So, A-1 and BT are of the order 3×3. Now, from the…

Q: Let A and B be 6 × 5 matrices. If dimN(A) = 2, what is the rank of A? If the rank of B is 4, what is…

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Q: Find the matrices of x and y if. 2x- y = [ -6 3 2 I and x+2y = 1

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Q: TRUE OR FALSE. The product of two m × n matrices is defined.

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Q: Give an example of two matrices A and B such that BA exists, but AB is undefined. Explain why your…

A: Finding the product of two matrices is only possible when the inner dimensions are the same, meaning…

Q: If A is a 31x24 matrix whose rank equals 10, find dim(Nul(AT)). Your Answer:

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Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Let A2x3, B2x3, C2x2, E3x2, be matrices. Which of the following cannot be calculated?

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Q: For n × n matrices A and B , when does (A + B )(A − B ) = A 2 − B 2?

A: Commutative rule: The product of two matrix does not follow commutative rule: AB≠BA Given:…

Q: If A and B are row-equivalent matrices, then they must have the same rank. True False

A: Our guidelines for multiple questions, answer only first question  Answer = (8)  If matrices "A"…

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

A:

Q: If A and B are nxn matrices .Find the cost of calculating A? + BAB.

A: Given A and B are n×n matrices.  To find the cost of A2 + BAB

Q: Let A be a 3 x 10 matrix, and let B be m x n. Suppose that B'A' is a 21 x 3 matrix. What is the…

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Q: Enter the elements of a 3 * 3 matrix using the keyboard and then find the result of summing the…

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Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

Q: What is the linear combination of the matrices аnd

A: The explanation are as follows

Q: Are the two matrices similar? If so, find a matrix P such that B = P−1AP.

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Q: Show that if A and B are n × n matrices and N(A − B) = Rn then A = B.

A:

Q: If A and B are nXn matrices, then (A-B) =A-2AB+B Select one:

A: A-B2=A-BA-B=A2-AB-BA+B2

Q: Are the two matrices similar? If so, find a matrix P such that B-P-AP. (If not possible, enter…

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Q: Find the matrix B such that 2AT+3B=0.

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Q: Enter the matrices P and D below.

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Q: If A, B, and C are square matrices of the same order such that AC = BC, then A = B. True False

A: Given AC = BC

Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

A: Give an example of 2 × 2 matrix, in which A + B-1 = A-1 + B-1 is wrong.

Q: . We can add (or subtract) two matrices only if they have thesame .

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Q: Using only the elements 0 and 1, find the number of 3 × 3 matrices that are (a) diagonal, (b) upper…

A: Using only the elements 0 and 1, find the number of 3x3 matrices that are   (a) diagonal,   (b)…

Q: Find ∣A∣, ∣B∣, and ∣AB∣ for the matrices

A: given: A=1-22032101 B=2010-1-231-2

Q: Give an example of  a matrix which is its own inverse ( that is , where A^-1=A)

A: We have to give an example of  a matrix which is its own inverse where A-1=A take A-1 on other…

Q: Give the two matrices,A = {(1, 2, 3) , (1, 1, 2), (0, 1, 2)}and B = {(1, 1, 1), (2, 1, 2), (3, 1, 2)…

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Q: Find the 2 x 2 matrix A, if 2 (A" – 212x2)-

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Q: Give two examples of a matrix which is its own inverse (that is, where ?^-1 = ?)

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Q: Give the two matrices, [1 2 3] 1 1 A = |1 1 2 and B= 2 1 2 0 1 2 1 2 (d) Find (AB)-1 and (BA)-1.

A: Explanation: Given that,                          Here both matrix are 3*3. So, multiplication is…

Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the first row…

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