1. Let A, B and C be n x n matrices such that det(A) = 4, det(B) = 3 and det(C) = -1. (c) same rows of B and C for i #j and the sum of 3 times row j from B and 4 times row j from C for i = j. Suppose B and C match on all but row j. Find the determinant of the matrix that has the

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: 10. If a 7 x 7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b)…

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

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Q: Find the determinant of the given matrix using the following method: 1.3 Property 11 1.3.1 Choose 3…

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Q: 1. Let A, B and C be n x n matrices such that det(A) = 4, det(B) = 3 and det(C) =-1. (a) ( .-) Find…

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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: .Solve the problems for the given matrices. 2 3 6 4 1 5 9 5 0 1 10 2 6 11 7 4 6 12 8 2 10 18 7 8 0…

A: Note: According to the company guidelines we can solve only one question. kindly post other…

Q: 2. Let A be the matrix 0 4 5. Suppose that B is a 3 x 3 matrix with det B = 2 (you are 0 0 6 not…

A: Given              A=123045006

Q: Find the determonant of the matrix A 1 2 1 -21 -1 -2 -1 4 2 1 3 2 --2 1 2 -31

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

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Q: Let A and P be n × n matrices, where P is invertible. Does P−1AP = A? Illustrate your conclusion…

A: Since, matrix P is invertible. This implies P-1 exist. Let A and P be matrix such as Find the…

Q: 1. Choose three different non-zero integer values for the empty boxes and find the determinant of…

A: The given matrix with non-zero entries,A=20103620-153401-40

Q: Find the area of the triangle with vertices (1, 0), (2, 2), and (4, 3)

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Q: 10. If a 7 x 7 matrix A has det(A) = 1/4, compute the following determinants: (a) det(5A) (b)…

A: As per our guidelines we need to solve only one question.please repost the remaining  questions as…

Q: Let x, y, z ER be such that the matrix 4 9. 3 4 E M3x3 (R) z -2 -1 has determinant equal to 4.…

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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: (1) Compute the determinant of the following matrices: () () ()- п — 1 2 1 .. 1 2 n – 1 п — 2 1 1 7…

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Q: 1 be the n x n matrix with the following form: 1 1 1 1 1 .. 1 2 2 2 ... 1 2 3 3 3 ... A = 1 2 3 4 4…

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

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Q: Compute the determinant of the following elementary matrix 0 1 0 100 0 0 1

A: We use the expansion of the determinant along its rows to find the determinant of the given…

Q: A is a 3 x 3 matrix with det(A) = -2. What is the determinant of A-1 AT? Here AT is the transpose of…

A: Given; AT = A So, A-1AT = A-1A = Identity Matrix

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: An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2 gives rise…

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Q: Suppose that a 4 x 4 matrix A with rows v1, v2, v3, and v4 has determinant det A = 2. Find the…

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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: a of m. C and D are both 3 x 3 matrices. Give the following determinants in terms of a numerical…

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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: Compute the determinant of 15 2 4 3 4 1 A = 0 03 4 0 7 4 7 (a) by using a cofactor expansion across…

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Q: Let [(1a)] Compute the area of the parallelogram determined by four points with position vectors i,…

A: As we know that area of parallelogram is =Base ×Height

Q: 2. If the determinant of a 5×5 matrix A is det(A)=6, and the matrix C is obtained from A by swapping…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 6. Suppose that A and B are 5 x 5 matrices such that det A det B = 5. Find the following…

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Q: Let A is an orthogonal matrix, that is, AAT = I and B? = I. Compute the determinanm of the matrix…

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

A: solution  given below

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

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: 8. Let A and B two 5 x 5 matrices of determinant 3 and 2. Compute: (a) |AB| (b) |2A| (c) |B-1| (d)…

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Q: ): Consider the 3 x 3 matrix -- -1 A = 3 -X where x is an unknown scalar. -1 Find the unknow x if it…

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

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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: We will use the following formula : (1) det(AB) = det(A) det(B) (2) det(Atr) = det(A)   The answer…

Q: 2. For the matrix A given in #1, compute the determinant using LU factorization.

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

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Q: E. Compute for the determinant of the 4x4 matrix below using minors and cofactors. 3 2 2 2 2 1 1 1…

A: Given that: 0322020020110104

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

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Q: 2. Find the determinant of matrix D using the three methods. 6, 4 2 7 -9 4 det. D = 18 -3 3 8 9 3

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Q: (b) Given that A and B are 3x3 matrices where det(A) = -3 and det(B) = 3. Compute the following…

A: solution:Given A and B are 3×3 matrices .Also, det(A)=-3 and det (B)=3.WE need to find detA2T.(2B)-1…

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

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