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

Q: compute the indicated matrices C -BT

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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: 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: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: In the context of a 3 x 4 matrix, write down elementary matrices for the following operations: (a)…

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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: (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: 3. (a) If A is a 3 × 3 matrix and det(A) = 3 then what is the value of det(3A)? (b) If A-1 = A then…

A: Given A is a 3×3 matrix and detA=3

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: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: What is the characteristic equation of the matrix  (10     -5)  (3      -2)

A: Given matrix is 10-53-2

Q: compute the indicated matrices 3D - 2A

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Q: please answer all thanks!

A: Given matrices are:A=⎝⎛​3−11​021​⎠⎞​, B=(40​−12​), C=(13​41​25​), D=⎝⎛​1−13​502​214​⎠⎞​. (a) 2B -…

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: (ЗАТ + 4CТВ)Т- 54 - 4B

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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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