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

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: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

A:

Q: the determinant of a 4×4 matrix A is det(A)=−5, and the matrix B is obtained from A by swapping the…

A: We have to find out the determinants

Q: Let M be a 10 × 10 real matrix such that M2 = M and the determinant of the matrix cannot be 1. Does…

A:

Q: The determinant of a 2 by 2 matrix A is equal to the area of the parallelogram with two adjacent…

A: Given the 2 by 2 matrix A. We have to find the determinant of a  matrix A is equal to the area of…

Q: Consider a 4 x 4 matrix A with rows vi, v2, v3, and v4. If det(A) = 2, find the determinant of the…

A:

Q: Every matrix has its determinant. O True False

A: In this question we asked that every Matrix has a determined or not

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: In each part, find the determinant given that A is a 4 x 4 matrix for which det(A) = -2 1) det(-A) =…

A:

Q: If A and B are inverse of each other, the determinant of AB is

A: Determinant properties are used

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

A: Given that AB=AC  and  A is invertible. Therefore, A-1 exist. This implies that,…

Q: Compute the determinant of the following matrix -() 1 а а? 1 b b2 1 c c? A =

A: To find the determinant of matrix A

Q: Show that 4 is the largest determinant for a 3 by 3 matrix of 1 'sand -1 's.

A: To show: 4 is the largest determinant for a 3 by 3 matrix of 1 'sand -1 's.

Q: Given that A, B are two 4x4 matrices such that A B = 1, where l is a 4x4 identity matrix, which of…

A:

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. %3D choose the option which is…

A: Given data: The given determinant of the first matrix is det(A)=-5. The given determinant of the…

Q: Find the determinant of the following matrix 5 -2 3  0 4 2 3 3 4

A:

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: Given the following Matrices: Find the determinant of [3(BT+2A)] * (AB-1) using the Pivotal Method.

A:

Q: Two square matrices that have the same determinant must have the same size. O True O False

A:

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

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

Q: If P is an invertible n × n matrix, show that: det(P−1A2P) = (det A)2 using the determinant…

A:

Q: Use the cofactor expansion theorem to evaluate the given determinant along the specified row or…

A:

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

A:

Q: Find the determinant of the matrix, if it exists.  [2 5]

A:

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

A: Solution:-

Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 16 B 0 2…

A:

Q: Refer to Matrix A and B, determine the following 6. co-factor of az21 and a33 of A? 7. determinant…

A:

Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. choose the option which is…

A: To find the determinant of AB2C-1, we use the following properties of the determinant for m×m…

Q: Suppose A, B and C are a 3x3 matrices having the following determinants: det (A) = 2 det(B) = 3…

A: Given that:                          det(A)=2det(B)=3det(C)=4Let D=2ABC-1B-1

Q: The volume of a parallelepiped having A, B and C as edges can be obtained by finding the determinant…

A:

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: Let A be a 5 x 5 matrix and |A| = 3. The determinant of 2A is equal to 32 48 6. 96

A: Here A is a 5×5 matrix. |A|=3. We find |2A| ,that is determinant of 2A.

Q: The determinant of a square matrix A is O if and only if one column of A is a multiple of another…

A:

Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

Q: 1 3 1 -1 -7 1 -2 0 1 5 3 1 2.

A: solution  given below

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: 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: 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 C is a 4 x4 matrix such that det (C) = 3. What is the determinant of the matrix B=2C?CIc-1?…

A: Given :det(C)=3C=4×4 matrics

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

A:

Q: Compute the determinant of the following matrix, without using a computing devise: 0 1 0 1 02 -1 -1…

A:

Q: Suppose A, B are 3x3 matrices, det A = 6, and det B = -5. Find the following determinants. (a): det…

A:

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

A:

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