A and B are n x n matrices. Check the true statements below: OA. If det A is zero, then two rows or two columns are the same, or a row or column is zero. OB. det AT = (-1) det A. C. The determinant of A is the product of the diagonal entries in A. OD. If two row interchanges are made in succession, then the determinant of the now motrix is equal to the determinant of the original matrix

Q: When the two columns of a matrix are interchanged, the determinant of the first matrix is the second…

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Q: 1 -2 3 4 [7 9.

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Q: a a. Evaluate: a a a b. Evaluate: 0 0 0 a a a al la a a a a a a c. Evaluate: 0 0 a a 0 0 0 a d.…

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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: T-3 -1 1 -2 -1 3 2 1 1 2 3 -1 -2 1 -1

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Q: Let G(x, y, z)= (1+9xy)2 and consider a surface S given by the parametrization r(u, v)= [u, u, v],…

A: Step:-1 Given that Gx, y, z =1+9xy12  And   r u, v = u, u3, v0≤u≤1,  -1≤v≤1 So,  Gx, y, z =1+9xy12…

Q: ab 4h. de f=3, then find the determinant of -a -4b -C ghi d 4e O A. 12 О В. 24 O C. -24 O D. -12…

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Q: H.W:- Find the deteminant for the following matrices:

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Q: Find the value of each of the following determinants: b)*| 0 1 -1 0 -2 -1 -3 -2 2 3 1 2 3 -3

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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: Use the fact that to compute the following determinant. a b def 9 h i |9a 96 9c d g e f h i || - с =…

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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: Evaluate the following determinants by inspection:

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Q: What is the determinant of -2 ? -4

A: Given,         A= 1-23-4

Q: Find the determinants of the following: 1- 히 8 10 2. 3. 1 -2 ㅇㅇ 뙤 1 1 10

A: Please see the solutions below.

Q: Find the determinant of the following 2 x 2 matrix. Answer: 2 110000 9

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Q: Find the value of the following determinant 1 2 1 -2 O 1 0 -2 0 0 2 7 0 -1 0 3

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Q: Evaluate each determinant when a = 1, b = 4, and c = −3.

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Q: Express the determinant in the form ai + bj + ck for real numbers a, b, and c.

A: Given determinant: ijk4-62-23-1

Q: 0 -2 2 -1 B = 1 4 -1 3 4

A: We have to solve given problems:

Q: Evaluate the following determinant. 4 -4 0 -1 3 1 9-

A: we have to find the following determinant

Q: Use elementary row or column operations to find the determinant. 1 1 -7 2-8-4 6 -7 2 22 OO 2477 Need…

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