If A, B are 3 x 3 matrices such that det(AB)-1)= and 20 det(adj(A)) = 25. Then det (3AT. (B)-1) a. None 25 O b. 108 5. O c. 108 135

Q: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = , then…

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Q: Let A and B be two square matrices of type 3x3 such that det (A) = 4 and det(B) =-3. Then which of…

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Q: If A and B are 3 x 3 matrices, det(A) = 3, det(B) = -6, then det(AB) = det(2A) = %3D det(A") =…

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Q: If A and B are any two n x n matrices, then (AB)7 A' B Select one: O True O False

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Q: If A, B, and C are 3×3 matrices; and det(A) = 1, det(B) =-1, and det(C) = 3 then compute:…

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Q: (3) Suppose that A and B are 4 x 4 matrices and that det(A) det(B) = Then %3D det(-A'BA"…

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Q: If A and B are 5 × 4 matrices, and C is a 3 x 5 matrix, which of the following are defined? OA. B+ A…

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Q: If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det…

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: If A and B are n x n matrices and if det(A) , det(B) 2, then det (-3A-1B) is (A) (-1)"2"-215 (B)…

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Q: 5. If C and F are 3 x 3 matrices and det(C) det(CF-1), det(2CF), det((CF)-!) ? V3, det(F) = -4, then…

A: Use rules of determinant , written below

Q: Let A, B and C be matrices of type 2 x 3, 3 x2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Solution

Q: Suppose that both A, B ore 2x2 matrices such that det (A) = 2, det (B)=6. Then det (AB) = %3D det…

A: As per our guidelines only 3 sub-parts can be solved: Solving 1st three sub parts in the steps…

Q: Suppose A and B are 3x3 matrices with det A = 2 and det B = -3. Find det(2BTA-B).

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Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

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Q: If A and B are n x n symmetric matrices, then AB is symmetric. A True В False

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Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: If A, B, and C are 2×2 matrices; and det(A) = 1, det(B) = 2, and det(C) =-1 then compute:…

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Q: If A and B are 5 × 4 matrices, and C' is a 3 × 5 matrix, which of the following are defined? DA. В +…

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Q: Given the matrices below and that A = LU, complete L-1, U-1, and A-1, 1 -3 -2 1 -3 -2 A -5 16 12 L =…

A: Given The given matrices are A=1-3-2-516121-4-3 L=100-5101-11 U=1-3-2012001 For the inverse matrix,…

Q: If A and B are n x n symmetric matrices, then AB is symmetric. ... (A) True B) False

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Q: Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b)…

A: a). b).

Q: If A, B, and C are 3×3 matrices; and det(A) = -1, det(B) = 4, and det(C) = 3 then compute:…

A: We know properties of determinant for n×n matrices A, B…

Q: Let A, B and C be 3x3 matrices with det(A) = 7, det(B) = 5 and det(C)= 6 find det(det(A).B'.C)…

A: It is given that detA=7,detB=5,detC=6 detdetAB-1C=det7×1detBadjBC=det76adjBC It is known that…

Q: If AB=AC, where A, B, and C are matrices, then this implies that B=C. O True O False

A: A-1A = A A-1 = I  Where A-1 = Inverse of A               I = Identity matrix

Q: If A and B are (n x n) matrices, then e" = ". a) True b) False

A: True

Q: (e] If A and B are 3 x 3 matrices, detA=-4 and detB = -3; then: det AB det 34 det A" det B1 (round…

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Q: If A, B, and C are 4x4 matrices; and det(A) = 4, det(B) = 2, and det(C) = -1 then compute:…

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Q: Let A, B and C be matrices of type 2 x 3,3 x 2 and 2 x 2 respectively, such that det(AB) = -3 and…

A: Explanation of the answer is as follows

Q: If A and B are 3 x 3 matrices, det (A) = 2, det (B) = 6, then det (AB) = det (-24) = det (A¹) =

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: If a 4 by 4 matrix has det A = ½, find det(2A) and det(-A) and det(A2) and det(A-1 ).

A: Now,

Q: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: Given the matrices below and that A = LU, complete L-1,U-1,and A-1 1 0 0 L = |1 1 1 4 -1 1 4 A = 1…

A: Given that A=14-115-6213-26 and A=LU where L=100110251 and U=14-101-5001

Q: If A and B are 4 X 4 matrices, det(A) = 1, det(B) = 4, then  det(AB) = ? det(3A) = ? det(AT) = ?…

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Q: If A and B are 3 x 3 matrices, det (A) = 2, det (B) = 6, then det (AB) = det (−2A) = det (AT) = det…

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Q: If A and B are 3 × 3 matrices and detA=2 and det B = 4, find det (5A* BTΑ-)

A: See the details solution in below

Q: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then…

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Q: If A, B are 3 x 3 matrices such that det(AB)-1)% = det(adj(A)) = 25. Then det(3A". (B)-') 20 and O…

A: We are given that A and B are 3x3 matrices. We are also given that detAB-1=120 and detadj(A)=25.…

Q: If A and B are 2 square matrices of the same size such that det(A) = -3 and det(B) = 4, then 4 det…

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Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = –5, then det(AB) = det(-3A) = det (AT) = det…

A: For a rectangular matrix: X=abcd, the determinant is calculated using the formula: detX=ad-bc.

Q: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then Det(24)-(4B…

A: (3).  Given: A is 4×4 matrix.Det(A)=-3Det(B)=32

Q: for the non-nill matrices A and B, which of the following statement is true  A -B = -B +A A-B =…

A: Consider the given information. We will check one by one option. (a) A -B = -B +A The above…

Q: Let A and B be 3 x 3 matrices, such that det(A) = 2, det(B) = -4, then det(2AT B-2) = %3D %3D A) 1…

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Q: Let A, B, C be (4 × 4) matrices, such that = a, det(B) = b, det(C) = c, a, b, c E R. What is the…

A: The transpose of the matrix can be calculated by replacing the rows with the columns of the matrix.…

Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Given :            A and B are 4 × 4 matrices.           det(A) = 2 and det(B) = -14.           C…

Q: 6. If A, B,C and D are 3 x 3 matrices with det(A) = 2, det(B) = 4, det(C) = 3 and det(D) = -2, find…

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Q: Let A and B be 3 × 3 matrices with det(A) = 4 and det(B) = 5. Find the value of (a) det(AB) (b)…

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Q: Suppose A and B are 4 x 4 matrices with |A| = 4 and |B| = 5, answer the following. If the answer is…

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Q: If A, B are 3 x 3 matrices such that det(AB-1) = 12 and det(adj(A)) = 16. Then det(3A". (B)1) %3D O…

A: Consider the given expression, det3AT·B-1 It is given that detAB-1=12 and detadjA=16. now, use the…

Q: For the non-null matrices A and B, which of the following statement is true  1) A -B = -B +A 2)…

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