Use a determinant to decide whether the matrix is singular or nonsingular. -7 6. 21 18 O singular O nonsingular

Q: Find the determinant. c + a C c + a C C C C + a

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Q: 4. Evaluate the determinant of the matrix. 1.-4

A: The given matrix,              2-31-4

Q: Evaluate the determinant of the matrix:

A: The matrix of 2×2 order is A=abcd. The determinant of the matrix A is given by : A=abcd=a×d-b×c

Q: How many permutations of (1, 2, 3, 4) are even and what are they? Extra credit: What are all the…

A: Permutation: The even permutation are (1,2,3,4) The permutation , (1,2,3,4) (1,4,2,3) (2,3,1,4)…

Q: Let A 2x2 matrix. A satisfies with tr (A² ) = 5 and tr ( A) = 3. Find determinant of A.

A: Use property of eigen value

Q: Use a determinant to decide whether the matrix is singular or nonsingular.

A: We know that a matrix is singular if and only if the determinant of A is zero.

Q: Let B be the matrix defined by B= t The determinant of B is: O -1310 O -134 -132 -13 O 13 O 132 O…

A: transpose of a matrix is a matrix which is obtained by interchanging row and columns of a matrix .

Q: 3. Compute the determinant of the leading principle submatrices of the following matrix. Can you do…

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Q: 5) Write the system of equations as an augmented matrix and use Cramer's rule to solve for y. Use…

A: Given system of equations are 2x+y-z=04x-3y-2z=-28x-2y-3z=3

Q: For Exercise, evaluate the determinant of the matrix. 4 18 o0lonki

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Q: Find the determinant of the following matrix: 1 20-7 -10 4 2 6 530 2 -5 21 3

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Q: Use expansion by cofactors to find the determinant of the matrix. y 30 -27 18 24 -10 32 -18 24 -40…

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Q: Use expansion by cofactors to find the determinant of the matrix. W y 30 -18 27 15 -32 10 -18 24 -35…

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Q: 5. Compute the determinant of 27 10 -27 35 3 -8 11 A = 14 -14 -5 -18 - -3 4 Does the inverse matrix…

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Q: Use expansion by cofactors to find the determinant of the matrix. W y 24 15 -18 30 -18 32 -10 24 -32…

A: Given: wxyz15-182430-1832-1024-324022-35

Q: Use expansion by cofactors to find the determinant of the matrix. 15 -24 30 18 -24 10 -18 32 -32 22…

A: Note that determinant is possible only for a square matrix

Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

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Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: Find the determinanat of the matrix A: 123 4 1 4 5 8 A= 11 2 3 13 5 8]

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Q: Use expansion by cofactors to find the determinant of the matrix. 4 1 -2 2 0 -3 1 4

A: follow next step

Q: Let A be the matrix a- (; ) 3 h A = 4 For what value of h is the matrix A not invertible? (Hint: Use…

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Q: Use expansion by cofactors to find the determinant of the matrix: y 21 27 -18 -24 18 -10 w + X +

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Q: Use expansion by cofactors to find the determinant of the matrix. 21 -27 15 18 -10 32 -24 18 -32 35…

A: Explanation of the answer is as follows

Q: Use determinants to determine whether the following 2 × 2 matrices are nonsingular

A: A matrix is said to be nonsingular if it's determinant has non zero value.

Q: Which of the following statements are true? det (cA) = c det (A) For all nxn matrices A and B, we…

A: GIVEN : d et (c A)=c de t (A) we need to check the true statement 1). For all n*n matrices A and B ,…

Q: 8) Write an augmented matrix that represents the system of equations, and use Cramer's rule to solve…

A: Consider the following system of linear equations: 2x+3y+z=43x-z=-3x-2y+2z=-5 Rewrite the system of…

Q: -1 B/: 40 22 :- 12 21

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Q: Use expansion by cofactors to find the determinant of the matrix. 24 -30 18 27 -24 18 -32 10 -32 40…

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Q: Use expansion by cofactors to find the determinant of the matrix. 21 -30 27 24 -32 18 -10 24 -35 40…

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Q: Use a determinant to decide whether the matrix is singular or nonsingular.

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Q: Use expansion by cofactors to find the determinant of the matrix. y 21 -18 30 27 -32 18 -24 10 -22…

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Q: Use determinants to find out if the matrix is invertible. - 25 2 - 5 -6 2 O 10 -3 1,

A: A metric is set to be invertible if its determinant is non zero. We will find the determinant of the…

Q: 5. Use J the evaluate 9 5 matrix capabilities graphing the determinant: utility to -5 0 CH 3 6 3

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Q: [2 3 What is the determinant of the product of matrices A: and |3D 0 1 -17 B = 2 1 Artivat 2.

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Q: 3. Prove that |B| = -|A| and identify what property of determinants. -4 1 4 -1 Let A- and B =5 -1 2…

A: To be proved - |B|=-|A| To be mentioned - what property this behavior shows

Q: Use determinants to determine if the matrix below is singular. 0 3 -1 A = 4 -3 -1 3 2 2 det (A) = Is…

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Q: Apply forward elimination to transform the matrix 1 -1 2 4 5 -3 6 -2 5 -2 6 4 11 -4 8 into an upper…

A: In this question we have to find the determinant of the original matrix.

Q: Find the determinant of x from the given matrix: 4 -123 2021 10 301 14 2 4 5 -35 -30 -28 -25

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Q: Use expansion by cofactors to find the determinant of the matrix. y 24 -15 27 18 -24 10 -32 18 -22…

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Q: 8 3 The determinant of the matrix A ) is det (A) -3 -4 Does the matrix have an inverse? Yes v O

A: Use the formula and calculate the determinant.

Q: 4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 3 1 A = 2 0…

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Q: 1. Calculate the determinant of the matrix. -3 21 -6-12 0 21

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Q: Use expansion by cofactors to find the determinant of the matrix. 4 1 -2 2 3 -2 3 4

A: Given the matrix

Q: find the determinant of the matrix? 17*104 - 100w² -3*104 -3*10²4 5*10" -900³² 4 -2*104 2+104_900² 0…

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Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

A: If the determinant of abcdefghi is calculated by the cofactor expansion  along the first row, then…

Q: a.) Can we use cofactor expansion in a 2 x 2 matrix? b.) What is the determinant of a 1x 1 matrix?

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Q: 4. Given the 5x5 matrix A such 4 Compute the determinants |4| |-24| |24"|

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Q: 12. Use the properties of the determinant function to show that if A and B are any n × n matrices,…

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