Find the standard matrix for the linear operator on R2 which reflects about the line which has an angle 7/8 with the positive x-axis and then rotates by π/4. (e) None of these 02 20 (a) (6) (23) (3) (3) (b) (c) (d) 20 02 1 0

Q: If A = 6. B= [-3 , 2] and C = what is the %3D 3 -2 determinant of (AB – 2C)" ? |

A: Given that  The matrices  To find the (AB-2C)^T

Q: 4. Consider the matrix 1 0 0 0 0 0 -2a -a (a² + a) 0 (2-a²) - (2-a²) -2a (2-a²) 2+ 4a - a² Find all…

A: 4) Solution:According to the given data, find the all values of a for which given matrix is psd.

Q: 8. Let A be a square matrix of order n > 3, and suppose that det(A) = 3. Find the following…

A: Given: A is any matrix with detA=3. To Find: det(A3), where A3 is the matrix obtained by rearranging…

Q: 3. Let A, B € Mnxn (F) be n x n matrices. (a) Prove that tr(A + B) = tr(A) + tr(B). (b) Prove that…

A: Trace of matrices is sum of its  diagonal entries

Q: Use the determinant to decide whether the matrix B given below is singular or nonsingular. B-/14 14…

A:

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: (a) Show that the jth column of the matrix product AB is equal to the matrix product Ab;, where b;…

A:

Q: Which of the following is the determinant of the 2 x 2 matrixA= (A) ad-be (B) be- ad (C) (D) ad-bc

A:

Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1AP =…

A:

Q: Find the characteristic equation of the given matrix: 8. -D1 2 0. A = 8 -D1 6 -6 1 6 5 Select one: O…

A:

Q: Find the inverse of the matrix 2 2 2 -3 -3 !

A: Given  A = 122112-3-31

Q: what is the relationship between determinant and rank

A: