a) The matrix B is a 3 x 3 matrix and det(B) = 3. Give the reduced row echelon form of B. b) Compute the determinant of a a+2 a+4| b+2 6+4 c+2 c+41 c) Solve DX = 0 with 000 0 20 0 0 D= 15 0 0 07 -3 10 2 4 0 d) Let A and B be 2 x 2 invertible matrices. Given that det(AB-¹) = 2 and det(2AT AB) = 16, find det(A) and det(B). 06 C 4 -1 2 6 60

Q: What does interchanging any two rows (or columns) do to the value of the determinant?

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Q: Let A 2x2 matrix. A satisfies with tr (A² ) = 5 and tr ( A) = 3. Find determinant of A.

A: Use property of eigen value

Q: Find the determinant of the matrix: * 3 -8 11 -3 4 -3 2 O 236 O 514 O 359 O -514 2 5

A: Given  32-8115-34-32

Q: 2) a) Using matrix method solve the following simultaneous equations 2x + 4y = 8 x- 3y = -1 a) Find…

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Q: By using expanding along a row or column, find the determinant of the matrix 1 2 3 2 1 0 2 1 -6 9 12…

A: Introduction: Every square matrix has a determinant. A determinant of a matrix is a scalar number.…

Q: Compute the determinant of matrix H and discuss the implication for model rationality:

A: Given:The matrix is .To Find:The determinant of the matrix.Concept Used:The determinant of the…

Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: 6) Find the determinant: -2 3 4 3 4-2 5 6-3

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Q: Find the determinant of the matrix M= -3-22¹ 8+22² +42³ 0 1+z²+2r³ 0 16+82² M-1- -8-42² and use the…

A: Please see the below picture for detailed solution.

Q: Given matrix A2x2, how do you calculate the determinant of A?

A: The determinant is a particular type of expression written in a special concise form .The…

Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

A: A 4 by 4 Matrix 3D matrix used for the purpose of representing the given vectors is called…

Q: Find the determinant of the matrix, if it exists.

A: The given matrix is 321-1-23. Compute the determinant as follows.

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: Assuming that all matrices are n x n and invertible, solve for D. ABCT DBA¹C = ABT. D =…

A: Given that :  are  invertible matrices.Then, are  all  exists.                   It  is  also…

Q: For an n × n matrix A, explain how to find each value. (a) The minor Mij of the entry aij (b) The…

A: (a) To determine: The minor Mij of the entry ai j of the n x n matrix A.

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: If a 4 x 4 matrix A with rows V1, V2, V3, and v4 has determinant det A = 7, 4v1+304 then det V2 V3…

A: If a  matrix A with rows  has determinant , then to determine the value of .

Q: Use the determinant of the coefficient matrix to determine whether the system of linear equations…

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Q: 4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 3 1 A = 2 0…

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