If A and B are 2 × 2 matrices, such that det(A) = 2 and det(B) = –3 %3D %3D then det(A"B) equals Select one: O None of the other choices. O -8 -6 1 2 о 2

Q: If A and B are nn matrices, then (A-B)2 =A2-2AB+B2 .

A: Given (A-B)2 =A2-2AB+B2

Q: (-2 -1 2 Given two matrices, A1P 3 and B- 11 -2 3 2 (4 2 9 If AB - , find the -2) values of k, p and…

A: We need to solve the equation AB=kI

Q: Consider the two matrices: 4 -5 1 B = A = -6 -3 Compute A +3B. The result is equal to:

A: GivenA=24-60 B=1-5-32To compute12A+3B

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 is an 3× 4 matrix and the nullity of A equals 2, find the rank of 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 multiplication is possible what is AB?

A: Given A  is 2×3 matrix B is 2×1 matrix

Q: Suppose A is an n x n matrix and B is an invertible n x n matrix. Simplify the following: a) (BAB)?…

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Q: [1 2 0] 3. If is A =3 4 0 create a matrix B whose entries are three times the difference of an…

A: Since I have solved similar ones, Let us find the matrix B and and it's determinant using built in…

Q: Given that P and O are 3 x 3 invertible matrices then (A-"B) = A. AB-! B. B-'A C. B-'A-! D. BA-

A: Given : A-1B-1

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: Show that A and B are not similar matrices

A: Given:

Q: If A and B are 5 x 8 matrices, and C is a 3 x 5 matrix, which of the following are defined?  A-C…

A: If A and B are 5 x 8 matrices, and C is a 3 x 5 matrix. Then, (1) A - C is not defined, because, A…

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: If A=2B where A and B are square matrices of order 3×3, and det(B)=5, what is det(A)? Select one: a.…

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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: Are the two matrices similar? If so, find a matrix P such that B = P-1AP. (If not possible, enter…

A: Use eigenvalues and eigenvector to find matric P.

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

A: Given that A and B are 5×4 matrix and C is 3×5 matrix.

Q: det(AB) = det(-2A) = det(A") = det(B-l) = det(B²) =

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Q: a) Consider the matrices A and B: 4 -3 A =-2 7 1 8 6. -5 B = -3 -2 Which element is in row 2, column…

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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 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: Consider the matrices. -1 6. -4 -2 A = 4 2 -8 8 and B = 2 %3D -7 -11 6 5 What matrix results from B…

A: Solution-

Q: 1 2 - Let A = 4 and B be given %3D matrices. If C = AB and c1 + c2 = [1 0, where C1 and c2 represent…

A: The solution is given below

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: If A and B are nXn matrices and AB = – BA Then (A +B)(A –-B)=A²+B²

A:

Q: If A and B are 2 x 8 matrices, and C is a 7 ×2 matrix, which of the following are defined? A. AB В.…

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Q: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: 6. If A and B are symmetric matrices, then (2A-1 – B)" = O 2A-1 + BT O 2A-1 – B O 2A-1 – B-1 None О…

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Q: If A and B be 2 x 2 matrices, then (A + B)(A – B) = A² – B?. A True False

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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: Ruèstion 12 If A, B and C , are matrices of order 4x3, 2x2 and 3x2 respectively, then the order of…

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Q: Imagine you have matrices A, B, and C, which of the following is false? The transpose of a sum of…

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Q: -2r If A = -3 is a singular matrix, then r= ±4 O ±4 O plus-or-minus 5

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Q: Consider the matrices. -4 -1 -8 8 -1 -2 -6 A = B%3= and -3 -7 10 -6 5 -9- What matrix results from…

A: A matrix can only be added to another matrix if the two matrices have the same dimensions . To add…

Q: Use the matrix P to determine if the matrices A and A'are similar. -1 -1 15 9. 5 P = A = A' 1 -20…

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Q: If 4A - 3B = 2C (where A, B and C are all matrices) then Matrix A can be defined as: %3D Select one:…

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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: The matrix A= 3 4 is similar to the matrix B=| Select one: O True O False

A: We have to cheek similar

Q: (1 point) If A and B are 3 x 3 matrices, det(A) = -3, det(B) = 2, then det(AB) = det(-3A) = det(A")…

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Q: If A and B are nxn matrices, then (AB)²=A²B²_ A) True B) False

A: Solution

Q: Find if possible the matrices: a. AB   b. BA.

A: The matrices A=426135 and B=234-1-20. Then we have to find AB and BA.

Q: If A is a 4x4 order matrix and det(A) = -1, then the value of det(3A) is Select one: O a. -81 O b.…

A: we are allow to solve one question at a time thank you

Q: If you're given these matrices: A =    1 −2 8 −10   ,  B =    1 −2 0 6   Then how can you find…

A: Find the elementary matrix E such that EA =B Given matrix A and B

Q: If M and N are square matrices of the same size, then (a) M²-N² =(M+N)(M – N) (b) M' +N° =(M + N)°…

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Q: Given the matrices A= 1 −4 −1       4 3 −1      4 −4 −2 and B= −5                0…

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Q: Given the matrices A= 1−4−1                                          43−1…

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