Suppose that A is a 3x3 matrix whose determinant is 2. If B is obtained from A by exchanging row 1 with row 3, then det(B) If C' is obtained from A by multiplying the second row by 3, then det(C) = If D = 3A, then det(D)

Q: If the determinant of a 4 x 4 matrix A is det (A) = 4, and the matrix D is obtained from A by adding…

A: As we know that applying row(column) operation value of determinants will not changed.

Q: Let A be a 3 x 3 matrix with determinant equal to 2. 2 -4 8 then A-1 is equal to -4] If the adjoint…

A: Given :adj(A)=2-4012-4880-4

Q: Suppose that a 4 x 4 matrix A with rows v1, V2, V3, and v4 has determinant det A = 1. Find the…

A:

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

A:

Q: Prove that a 3 by 3 determinant in which the entries in column 1 equal those in column 3 has the…

A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: Find the determinant of the matrix, if it exists.

A: We have to find the determinant of the matrix: 0-120 We know the determinant for 2×2 matrix,…

Q: What happens to the value of a second-order determinant if the two columns are interchanged?

A: The value of a second order determinant becomes "-1"times of the original determinant value if the…

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: Given- A is 20x20 invertible matrix whose determinant 2. Matrix B is obtained from A by…

Q: Consider a 3 x 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A:

Q: d. Using Matrix [B1] and [B2] prove that by solving the determinant of these matrices separately and…

A: Note:- You mentioned letter "D" but don't mention it is sub part (d) or matrix (d). For matrix D…

Q: The determinant of a 3 x 3 matrix A is 4. If det (kA) = 9, then the value of the constant k is…

A: Given: |A|=4 |kA|=9 To find k value

Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A:

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given, A=234560700

Q: Let A and B be n × n matrices and let C = AB. Use determinants to show that if either A or B is…

A: Given :-  A and B  be n x n matrices  and  C = AB Singular matrices :-  A matrices singular when…

Q: 2.- Obtain the determinant of the following matrix [A] 2 -1 -3 2 1 2 [A] 4 -3 0 6 -1 2.

A: As per given by the question, Determinant of the given matrix,…

Q: Show that every 2 x 2 matrix A of determinant 1 is the product of three elementary matrices. This…

A:

Q: If any two rows of a determinant are interchanged, its valueis best described by which of the…

A: If any two rows of a determinant are interchanged, then its value changes sign.

Q: If the determinant of a 5×5 matrix A is det(A)=8, and the matrix C is obtained from A by swapping…

A: The determinant of a 5×5 matrix A is detA = 8 Formula Used: detC = -detA To evaluate: The value of…

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

A:

Q: If X,Y, Z are 3 x 3 matrices, det(X) det(Z) = -15 then what is the determinant X²ytrz-!? 3, det(Y) =…

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Q: Find the determinant of the matrix, if it exists.

A: The given matrix is 321-1-23. Compute the determinant as follows.

Q: Suppose that A and B are n x n matrices, where B is nonsingular. Prove that the determinant of BAB-¹…

A: We use properties of determinant.

Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.

A:

Q: Compute the determinant of the matrix by cofactor expansion. [5 1 3x 1 -2 2x 5 4x O 17x -55x O 55x O…

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Q: If A is a 3 x 3 matrix with two identical columns. Which one of th following statements is true? A.…

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Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: Solution:-

Q: Find the determinant of a 10 x 10 matrix which has a 2 in each main diagonal entry and zeros…

A: Given matrix, 10 x 10 matrix which has a 2 in each main diagonal entry and zeros everywhere else.

Q: 6. Suppose that a 3 x 3 matrix A has its three rows given by vectors u, v, and w in this order (that…

A: We need to solve Q 6 part a for which we will use the properties of determinant.

Q: If a matrix has two equal rows, then the determinant is: Zero

A: If a matrix has two equal rows, then the determinant is _________

Q: If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A by…

A: If A is n×n matrix then det(aA)= andet(A). Just use this property of determinant of a matrix and…

Q: (1 point) If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A…

A:

Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.

A: Given matrix is:

Q: If A and B are square matrices, then the product property of determinants indicates that |AB| = |A|…

A:

Q: Suppose we wish to compute the determinant of 7-3 0 A--2 1 -5 1 by cofactor expansion on row 1. What…

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

A: Given: A=12-14012-2032-1120-2

Q: If A is a diagonal matrix, its determinant is the product of its diagonal entries, and its inverse…

A: Given, a) Diagonal matrix,A=400000200000100000120000014 b) Diagonal…

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

A:

Q: If the determinant of a 3 x 3 matrix A is det(A) = 2, and the matrix B is obtained from A by…

A: Given any matrix A , then Bis the matrix obtained by multiplying any row(or column) of matrix A by k…

Q: For a given square matrix A, if its determinant is nonzero, then A is not equivalent to the identity…

A: As per our guidelines I am solving only first question please resubmit other question.  To find true…

Q: Find the determinant of the matrix, if it exists.

A:

Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

A:

Q: Suppose AB = AC, where B and C are nxp matrices and A is invertible. Show that B = C. Is this true,…

A: Given information: Consider AB=AC and B and C are n×p matrices and A is invertible.  Calculation:…

Q: If the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

A: the determinant of a 3×3 matrix A is det(A)=2, and the matrix B is obtained from A by multiplying…

Q: Find the determinant of the matrix, if it exists.

A: Find the determinant of the matrix, if it exists.

Q: If the determinant of a 4 x 4 matrix A is det(A) = 3, and the matrix D is obtained from A by adding…

A: The objective is to find det(D).

Q: What is the determinant of a 1 x 1 matrix?

A: Find the determinate of matrix.

Q: Why is the determinant of the original matrix and the diagonalized matrix the same. Prove it.

A: Consider the provided question,

Q: ). If A is a 3 × 3 matrix with determinant 1, then 2A has leterminant 6.

A:

Q: Compute for Determinants of Matrix -3 mat C = 8. -5 5 5 5 -3

A: C=-33-18-5-755-3

Q: Consider a 3 × 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A: given row  of  3×3  matrix  is          a   , vector      b   , vector c=2a+3b    , vector