5. (a) Let 10-1 1 -1 -1 -1 1 P = 0 1 1 -1 2 -2 2 2 Evaluate the determinant of P. [4] (b) Suppose that A and B are n x n, invertible matrices, n ≥ 2. Let |A| = a and |B|= b. Find the values of the following determinants in terms of a, b and n: (i) |45|; (ii) |BT |; (iii) | AB-2|; (iv) |3BA|.

Q: Let A 1 1 A = 1A -1 1 Then answer the following. (a) Determine a;ı · (a2 x a3), for i = 1, 2, 3. (b)…

A:

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

A:

Q: Evaluate the following determinants and negative of determinants of order two: (a) (1) 3 4 5 (ii) 3…

A:

Q: [ab]. C d 6) (i) Compute the adjoint of A= (ii) Show that the determinant of A equals the…

A:

Q: Consider the below third order determinant: 3 6 2 1 9 3 2 5 2

A: Determinate of the 3*3 Matrix

Q: Let A be the matrix given by -2 -3 A = 1 -1 4 3 Compute the determinant of A using expansion along…

A:

Q: If A and B are 2 x 2 matrices with determinants |A| Find the determinant |(3ATB-¹) (2B-¹)¹. (d) 1/1…

A:

Q: -5 3 1 M = 1 1 -4 3 1]

A:

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: There exists matrix A so that ((21 – A)")-I = %3D Find the determinant of matrix A.

A:

Q: Find the determinant of the matrix 3 3 M = 2 -1 -1 -2 1 det(M) :

A:

Q: Find the determinant of the matrix -3 5 6] M = 0 -1 8 0 0 3 det (M) =

A: Here we have to find the determinant of the given Matrix MThe solution is given below

Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following…

A: On changing determinant of row to corresponding column, there will be no any change on…

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: Given: A is a 20×20 matrix. The determinant of matrix A is 2. B is the matrix obtained by…

Q: (a) With what sign does the term aina2n-1... and appear in the determinant of the matrix with…

A:

Q: Given the determinants of the following matrices: 40 6 -4 6 2 40 -4 6 2 6 -4 2 6 -4 40 2 6. 40 6. 6…

A:

Q: Compute the determinant of the matrix -1 2) 0 0 3 1 -1 -1 1 and find its inverse if it is…

A:

Q: 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 The determinant of the matrix is

A: We need to find the determinant of coefficient matrix. We will use Cramer'r rule to solve the…

Q: Let 2 -4 1 -1 1 1 3 -2 A = -3 1 1 1 2 2 -2 -1 1 -2 1 Evaluate the determinant of A.

A: Given a 5×5  matrix. To evaluate the determinant, we keep on reducing the matrix by performing row…

Q: Find the determinant of x from the given matrix: 4 -123 2021 10 301 14 2 4 5 -35 -30 -28 -25

A:

Q: Find the determinant 0 0 0] 3 00 2 3 0 -7 92 A = -2 -1 -6 DEN 5 det (A) (A) = of the matrix K

A:

Q: eterminants of the i) using the "diag

A: Introduction: Let us suppose that A=ABCDEFGHI, Then determinant by the diagonal method is given by,…