Use the fact that to compute the following determinant. |-5a +8g −5b+8h d 9 e h a b c d e f = 9 gh i -5c+8i| f i ||

Q: Use elementary row operations to simplify and then perform a cofactor expansion to evaluate the…

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A: a)  M12= (-1)1+2 -210-9=(-1)3 [ (-2 )(-9)-0]=(-1) [18]=-18

Q: 3. 3x + 4y + z = 10 2x - 3y + 5z + 9 = 0 x +2y-z = 6

A: The given system of equations,We have to find the solve this system using the determinants.

Q: Evaluate the determinant of D = = 135 A. t² +t+8 B. t² + 28 6 tfzl t + 2 C. t² - 10 D. t² 10t 28

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Q: Determine which property of determinants the equation illustrates.

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Q: |2 -3 0 4 is -13. -7 5 4. The minor of the a,3 element in the determinant, 6 5 true O false

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Q: What is the cofactor of the entry a3,1 of the given determinant ? 3 -2 1 A = |-1 2 -4 -3 5 A. To

A: D)  option D is correct.

Q: Evaluate the 2x2 determinant. 1 3 2 -7

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Q: Given det det det det ghi a a b c a b c de f de f g ghi d Q || b -8d + a -8e + b -8f + c h = 1, find…

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Q: By computing the trace, determinant, and rank, determine that A and B are not similar. 3 B= 1. 0.…

A: For the given matrix check trace, determinant and rank

Q: For the matrix below, verify that switching 2 rows or two columns only changes the sign of the…

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Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A?

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Q: Find the determinant of the dhatrix. [-19]

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Q: 4. 1.2p2.3q - 3.1r + 10.1 = 0 4.7 +3.8q - 5.3r - 21.5 = 0 3.7p - 8.3q + 7.4r + 28.1 = 0

A: The system of equations is:To solve using determinants.

Q: x + y – k = 0 -x – 2y + 7 = 0 4.x + 2ky – 20 = 0

A: Given system of equation is x+y−k=0−x−2y+7=04x−2ky−20=0........1 Equation 1 can be written as…

Q: Use elementary row or column operations to evaluate the determinant. 4 4 3. 4 2. 3.

A: We evaluate the given determinant by using elementary row operations.

Q: 12 =[-1²] Let A = @ without using A-1 6 Solve © Solve and B = [ determinants, compute. 24 235 -2 Ax…

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Q: Q1. Find the value of determinant by using appropriate row and column operations. 3 1 3 -1 -1 1. -1…

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Q: . Calculate the projection of å along b and projection of b along å when: d = 3î + j – k , 5 = -21 –…

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Q: а b f = 7. lg h i Find each determinant, where d e a b C |d е f 5d 5e 5f b. Ja b а. C h i lg h i а b…

A: The determinant remains unchanged when rows are interchange of a matrix.

Q: Answer 16 and 17. Thank you!

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Q: Use the arrow technique to evaluate the determinant. 4 0 0 2 8 -3 det 5-1 1 Jala

A: Topic = Determinant

Q: Determine which property of determinants the equation illustrates.

A: Let the given matrices are

Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…

Q: a. a d g -3b - 3e -3h b c e f h i -a b. -d -g 3c + x b 3f+y e 3i+z h

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Q: 3 4 5 6 | 4 52 3 Aこ | 2 5 6 2 I 5 6 7 2 3 1363

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