If A and B are 2 x 2 matrices, det(A) = −5, det(B) = −6, then det (AB) det (3A) = det (AT) = det (B-¹) = det (B²) = = =

Q: If A and B are 3 x 3 matrices, det(A) = 3, det(B) = -6, then det(AB) = det(2A) = %3D det(A") =…

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: compute the indicated matrices A + 2D

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Q: Give a specific symmetric 3x3 matrix whose first row is [1 9 -2] 6. and whose second column is row…

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Q: For any two 3 x 3 matrices A and B, we have (А + B)(А — В) — А? — АВ + ВА - В?

A: Given statement: For any two 3×3 matrices A and B, we have

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = 7, then det (AB) = det (2A) = det (AT B³) = ₁…

A: We use determinnant properties (i) det(AB)=(det(A))(det(B)(ii) det(KA)= , Here k is constant and n…

Q: Given the matrices: 2-1 0 A - (²29). B- (1¹³). (7³), 0- -1 3 Compute each of the following, if they…

A: We are given the matrices A,B and C.

Q: (1) Let A and B be two 2 × 2 matrices. Does det(A – B) = det(A) – det(B), explain your answer.

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Q: If A and B are 4 x 4 matrices, det(A) = 1, det(B) = 4, then det (AB) = det (-3A) = det (AT) = det…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: Can you please help with finding an inverse of an elementary matrices?

A: An elementary matrix is a kind of matrices that differ from the identity matrix from a single…

Q: What is the inverse of the matrix:  [2 1] [3 4]

A: INVERSE OF A MATRIX EXISTS IFF ITS DETERMINANT IS NON ZERO OR MATRIX IS INVERTIABLE. AND THEN

Q: en the definition tr rices (no numbers). (d) = a + d show that tr(A B) = tr(BA) using gen

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Q: If A and B are 2 x 2 matrices, det (A) = 3, det (B) = 4, then det (AB) = = det (-2A) = det (AT) det…

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Q: compute the indicated matrices A3

A: Here given

Q: What is the inverse of the matrix: -1 3 2 -1 2 0 -1 -4 1 ?

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Q: If A and B are 3 x 3 matrices, det (A) = 3, det (B) = -2, then det(AB) = det (2A) = det (AT B³) =…

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Q: How can we determine the cofactor for each element in a matrix?

A: Query- How can we determine the cofactor for each element in a matrix? Answer-  The first step…

Q: Find the rank of the matrix

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