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: 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: 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: A = 060 4 1 2 20 04

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Q: 1 -2 3 4 [7 9.

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

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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 determinants by inspection:

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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: 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: 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: Evaluate the following determinants by inspection:

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