63. Use the determinant to determine whether A= [; ] 1 2 is invertible. If it is invertible, compute its inverse. In either case, solve AX = 0. %3D

Q: B=" Let A = [_12] and B-[ 2 4 -2 35 determinants Compute @ without using Bb Solve Ax=b where b = [i]

A:

Q: Evaluate the determinant.

A: The given determinant can be calculated as, 121218-34=12×-34-18×12                  =-38-116…

Q: Verify the identity by expanding each determinant.

A: abcd+abef=abc+ed+f

Q: 12 10 312 4 3 1

A:

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: Evaluate the determinants.

A: The matrix a00000b00000c00000d00000e has all its non diagonal elements equal to zero. Such a matrix…

Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

A:

Q: |2–1 -1 -1 2-1 -1 -1 2-1 nxn

A:

Q: cos no sin ne - sin no cos no 4 -1 5 -4 -2 1 -3 1 -5 2 2 -1 3.

A:

Q: Show that the determinant of the matrix is equal to the determinant of its transpose by expanding…

A: Here, we have to find |A| and |A^t| by expanding third row and third column respectively.

Q: Solve the problem below. Compute the value of x by determi 4 -1 2 3 2 X = 10 2 1 3 1 14 2 4 LO

A: We will use elementary row operation to find the determinant.

Q: Find the determinant of

A:

Q: a' and b Expess the Vector paduct in from of de terminant: 2 = (2, a, as) 5= of where , (6, b, bs)…

A:

Q: 3. у3 Cјсos2х+c,sin2x

A:

Q: Define the term determinant.

A:

Q: 2+a 0. 1. The determinant of the matrix A = -1 -1 is: -2a a a. -2a - 4a + 6 b. 2a + 4a -6 c. 2a + da…

A: The given matrix is A=2+a0-2a-1-130-2a To find: determinant of A

Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A:

Q: Evaluate the determinant.

A: Given : 2313-1234