Let A, B, C be (3 x 3) matrices, such that det(A) = 2, det(B) = 7, det(C) = 1. What is the value of det(3ATB-A-C) ?

Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: Let A₁, A2, and A3 be matrices such that det (A₁) = -3, det (A₂): det (A₁ A2 A3) = Number = 4, and…

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Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Can someone help me answer this question with all the steps thank you.

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Q: 2. Let A and B be 4 × 4 matrices, with det (A) = 4 and det (B) = -3. Compute (a) det(AB) (b) det…

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Q: Let A and B be 3 × 3 matrices such that det (B) = -2 and 27 = det (-3AB A" B ²). 2 Find det(A).…

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: True or false. Please explain your answer. Let A and B be two nxn matrices. a) b) c) d) If B is a…

A: Let A be a mxn matrix, To Check and explain: whether the following statements are correct or not.…

Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

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: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

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

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

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Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: -3 8 -3 and C = (1 4 A = ( 2 -3 -6 B = 1 2 69 2 1 -2 6. -3 1 are three matrices find |D"|where D =…

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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: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

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: Let A be annxn matrix and B= A+T, where I is the identity matrix, then it is possible for A and B to…

A: Let λ be the eigen value of A. As B=A+I So, eigen value of B will be λ+1 which is not same as λ

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.