Exercise 7.4.1 Use row operations to calculate the following determinants: 12 1 2 (a) 1 2 1 23 2 -4 12 3 2 1 4 -5 21 (b) 24 (c) 23 3 1 -2 3 3 1 2-2 -1 0 23 (d) 14 1 7232 -1 0 2 1 3 2-2 233 -2

Q: 3 -6 9 B = |−2 7 -2 0 1 5 1 -2 3 1 5 -9 6 3 D = -1 2 -6-2 L 2 8 6 1

A:

Q: Calculate the determinant of A det (A) = Number -5 3 -1 5 00-3 0 3 -5-2-4 -2 -1 4 5

A:

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: Evaluate this determinant by cofactors of row 1: 4 4 4 4 1 2 0 1 2012 1 1 0 2 Check by subtracting…

A:

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: 2 A = 1 2 3 4 The determinant of A is -1/2 1/2 -2

A: We have to find the determinant of the matrix A =1234  formula : Consider the matrix A= abcd , Then…

Q: A = 060 4 1 2 20 04

A:

Q: 1 -2 3 4 [7 9.

A:

Q: H.W:- Find the determinant for the following matrices: 4 6] 1. X =-1 -4 answer: X =-108 3 2.

A:

Q: Compute the determinant of 11. 0260 0 0 3 7 8 00 4 Answer: enter number

A:

Q: /2 003 1Y 0-10 00 II-I0 (2 2 210,

A:

Q: Compute the determinant of B [400 9501 3 2 28 800 101

A: The matrix is given by B = 40041056322880010 To determine: The value of determinant of the matrix.

Q: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

A: The determinant of a matrix can be calculated by expanding the matrix along a row or a column. The…

Q: Solve for the determinant of the following matrix: 3 -9 -2 8 5-3 0 20 0 -3 1 200 0 -8-1-6 0-3 340 2…

A:

Q: Evaluate the following determinants by inspection:

A:

Q: 2. Use the elimination 2 -3 2 1 -3 2 131 method to evaluate the following determinant. 2 1 -1 -4 23

A: we have to find determinant.

Q: 1. Find the determinant for -6 4 1 -3" a) E = b) F =| -5 2 -2 5

A: (a) Given matrix is E=−64−52 We have to find the determinant of E=−64−52 detE=−62−−54=−12+20=8…

Q: Solve for the determinant of the following matrix: 2 4 9 8 4 25 10 - 3 4 14 9 0 2 1 1

A: Using formula for determinant.

Q: Use determinants to find x, y, and z in t

A: GIven,                 x+y+2z-6=03x+2y+4z-9=02x+3y-6z-3=0

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: Find the determinanat of the matrix A = 1 23 47 145 8 A= 1 12 3 1358

A:

Q: 1 2 31 -1 1. -2 1 2 -1 -3 -2 -3 0- 8 9. 2 41 \-1 6 -1 3 3 4 0 0 1 -2 | 2.

A:

Q: Consider the following system 321 + 2z2 + I3 = 3 T1- 2z2 +3zz = 9 221 + 22-2zs =-3 %3D %3D Find the…

A:

Q: 1 -2 3 1 5 -9 3 Calculate the determinant using expansion by the second row: -1 2 -6 -2 8 1 6

A: Let A=abc  def  ghi , then the determinant, |A|=aei-fh-bdi-fg+cdh-eg .

Q: 1 1 -2 0 3 -5 -1 2 A = 1 1 2 4 2 1 3 3.

A:

Q: Evaluate the following determinants by inspection:

A:

Q: -1 -3 -1 1 -2 4 -3 1 1 3 2 3.) -2 4 -3 -4 2 0 -4 2 0 4 1 -1

A: