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

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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)…

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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…

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Q: Consider the fourth-degree polynomial equation a₁ + b₁x²q₁x² + b₂ a₂+ b₂x² a₂x² + b₂ a3 + b3x² a3x²…

A: Given that We know that determinant of a matrix is equal to zero if any two rows or two columns are…

Q: A = 060 4 1 2 20 04

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Q: 1 -2 3 4 [7 9.

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

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

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

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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: Evaluate the following 4 x 4 determinant. Use the properties of determinants to your advantage. -5…

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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…

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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: Can you use elementary row column operations to find the determinant

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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

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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.

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

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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: Find the value of each of the following determinants

A: The given matrix is 8924-76-1334001-200. Compute the determinant by using 3rd row as follows.

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: Evaluate the following determinants by inspection:

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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

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Q: Calculate the determinant of 2x² + 3X + 5 O 23931 O 13249 O 12394 O 23419

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Q: -1 2 1 -4 -3 (c) 1 -1 -1 1 1 3.

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