21. If X, Z are 3 x 3 matrices, det(X) = -3 and det(Z) = -5 what 0 -3 XZ. 1 - is the determinant of 1 а) -15 b) –5 c) -3 d) 5 e) 15

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: Label the following statements as true or false. (a) The determinant of a square matrbc may be…

A: (a) The determinant of a square matrix may be computed by expanding the matrix along any row or…

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: 3 5 2 -1 -7 -3 -3 2 1 2

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Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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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: 4 Calculate the following determinants by elementary actions: 1 2 3 4 5 la+c b 1 c 2 3 4 5 6 1 b…

A: This is a problem related to determinant.This is lengthy/complex problem so I am doing it in…

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: 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: 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: In Exercises 47–52, assume that A and B are n × n matrices with det A = 3 and det B = -2. Find the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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: A 3 x 3 matrix M is given as (x 1 x-1 M 16. =2 1 1 x zero, then A 2x2 - 3x - 1 = 0 B 2x2 + 3x + 1 =…

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Q: 6

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Q: The velocity of a car, accelerating at uniform acceleration a between two points, is given by v = u…

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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: Prove WITHOUT using the product property of determinants: If M, N are triangular matrices, |MN| =…

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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 the determinant of a 5 x 5 matrix A is det(A) = 7, and the matrix B is obtained from A by…

A: This is a Linear Algebra problem.

Q: 4.2 Compute the following determinant efficiently: 1 2 -1 0 2 07 2 1 1 1 -2 -1 2 0 0 1 1 122N1

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Q: 2. If A is a 3 x 3 matrix, prove that the determinant of A is equal to the determinant of AT.

A: 2. Given A is a 3×3 matrix we need to show that determinant of A is equal to AT. Let A=abcdefghi.…

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: The set B = 4. 2 {[al}- is a basis for Nul(A) for some 4x3 matrix A. Determin

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Q: 2. Compute the following determinants using the permutation symbol. Verify your answer. 3. 0. a. 1 4…

A: Given :-  The Determinant of a matrix : A  =  32014-2-143

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: Suppose that A is a 3x3 matrix whose determinant is 2. If B is obtained from A by exchanging row 1…

A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

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: Write down a n × n matrix A such that Cond(A) =1, but determinant(A) → 0 as n → ∞.

A: claim- write down a n×n matrix A such that CondA=1, but detA→0 as n→∞. it is known that condition…

Q: If the determinant of a 4×4 matrix A is det(A)=2, and the matrix D is obtained from A by adding 5…

A: Given det A= 2  D can be obtained by adding 5 times the third row to the second in A  See the…

Q: 6- consider the following change of su=3xe" v = x'e variables (for e> Find fin teims of ¤ and u) the…

A: I have used the formula for jacobian.

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

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Q: Prove that the following matrix is not invertible by computing the determinant: [sin^2(alpha),…

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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: 5. Show that if M is a 3 x 3 magic square with weight w, then we can write M as M = Mo+ kJ where Mo…

A: M is a 3 x 3 magic square matrix with weight w. We take weight, w=15 The matrix of M is  Add any…

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: 1 Find the determinant usnig pivotal denent methord. 1 0 3 2 3 6 1 4 4 1] 2 B = -1 1 5 0

A: finding determinant using pivotal method. as per guidelines we are supposed yo solve the maximum one…

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

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Q: Using Laplace expansion, the 4x4 matrix will be reduced to 4 terms with a 3x3 minor determinant.…

A: Answer is mentioned below

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: What is the determinant of 1 -3 4 1 1 -3 5 1 -4 7 2 -6 9 10 -2 -4 6 -8 -9 Suppose A and Bare 3×3…

A: Here we find out determinants of Matrix.

Q: 8. Compute the following determinants: 0 0 0 2| 0 0 6 0 0 40 0 2 000 -3 0 0 0 0 0 6 0 0 0 |1 2 3 3…

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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: 2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 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: 2. For the set of equations 2x, + 5x, = 1 2x, + x, + x, = 1 3x, + x, = 2 (a) Compute the…

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