). If A is a 3 × 3 matrix with determinant 1, then 2A has leterminant 6.

Q: (a) det(A-1) (b) det(5A)

A:

Q: The determinant of a 2 by 2 matrix A is equal to the area of the parallelogram with two adjacent…

A: Given the 2 by 2 matrix A. We have to find the determinant of a  matrix A is equal to the area of…

Q: Which of the following is the determinant of 2 x 2 matrix? Click the correct answer a. aja2 -a,a D…

A:

Q: When the two columns of a matrix are interchanged, the determinant of the first matrix is the second…

A:

Q: A = 060 4 1 2 20 04

A:

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: Explain why the determinant of a square matrix A is the same as the determinant of the transpose of…

A: Explanation

Q: Compute the determinant of the following matrix A: а1,1 а1,2 а1,3 -2 1 A3,3 3 6. -1 Find the value…

A: Answer is mentioned below

Q: Compute the determinant of the matrix using the best possible method. Zmatrix ((2 -2 6 4)(2 3 7 1)(6…

A:

Q: Let A be a 4 × 4 matrix with det(A) = 2. Which of the matrices 2A, -2A and A² will have a…

A:

Q: Find the determinant of the n × n matrix.

A: The determinant of the n × n matrix. 1-n11…111-n1…1⋮⋮⋮…⋮111…1-n

Q: For square matrix A, if its first row equals 5 times the third row, then its determinant is 0. True…

A: We are given with the matrix who is first row is five times the third row and we have to find the…

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: 3. Find the determinant of the given matrix |-2 3 -1 7 4 A= |-7 -6 -2 -3 5 7 3 -12 -4 by using…

A:

Q: Suppose that A and B are n x n matrices, where B is nonsingular. Prove that the determinant of BAB-¹…

A: We use properties of determinant.

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: Let A be 4x2 and B be 2x4 matrix. Then the determinant of the matrix AB must be zero. False O True

A: consider matrix 4×2 matrix A=11102213 consider 2×4 matrix B=10222354 now the matrix AB is given as…

Q: If A and B are two square matrices 4 * 4 and |A| = 6 and |B| = -7. Find the determinants of the LARI…

A: Determinant of AB is -7 × 6 = -42. Answer is -42.

Q: If a 4 x 4 matrix A with rows v1, v2, v3, and 4 has determinant det A = 3, 601 + 704 v2 then det √3…

A:

Q: t1 = 1 t2 = 2 t3 = 3 t4 = 4 C1 = 11 C2 = 29 C3 = 65 C4 = 125 1 1 1 1 11 1 2 4 8 29 65 1 3 9 27 1 4…

A:

Q: If B is a non singular 2x2 matrix and k is a non zero scalar. What is the determinant of B

A: