Show that AB and BA are not equal for the given matrices. -2 1 8 0 A = 0 5 -1 2 АВ ВА

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: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

A:

Q: TRUE/FALSE If A and B are nonsingular n × n matrices, then A+ B is also nonsingular and (A + B)−1 =…

A:

Q: If A and B are nonsingularnxn matrices, then Select one: a. AB is nonsingular b. AB is singular

A: Given that A nad B are nonsingular n*n matrices.

Q: Let A, B and C be n x n matrices. Then (2AT + BC)T 2A-CTBT O is equal to the above 2A + CTBT is…

A:

Q: 3. Show that (AB)* B' A' by using the matrices A and B giver [8 -2 5] 1 -5] B = 7 0 -3 A =1 -4 3 6.…

A:

Q: Determine which matrices are in reduced echelon form and which others are only in echelon form. 0 0…

A: A matrix is said to be in row echelon form if All rows consisting of only zeroes are at the bottom.…

Q: Suppose that Q is an orthogonal matrix, then O a lQ°| = 4 O b. Q°| = 2 O d. Q°| = 0

A: This question is related to Linear Algebra

Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

A:

Q: . Which matrix, when multiplying another matrix on the left, permutes rows two and three of the…

A:

Q: Show AB + BA for the indicated matrices. A= 2 3] B = -1

A:

Q: Show that AB and BA are not equal for the given matrices.

A:

Q: Find the matrices of x and y if. 2x- y = [ -6 3 2 I and x+2y = 1

A:

Q: Show that for 2 × 2 matrices A & B the following equation holds. det(A + B)? = [det(A + B)]² Without…

A: a) Show that for 2x2 matrices A and B the following equations hold               det(A+B)2=det(A+B)2…

Q: TRUE OR FALSE. The product of two m × n matrices is defined.

A:

Q: Consider again 2 × 2 diagonal matrices: k 0 0 j If k, j ∈ {0, 1, 2, 3, ..., 9}, how many possible…

A: Given 2×2 diagonal matrix k00j k, j ∈0, 1, 2, 3, ..., 9

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: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

A:

Q: Let A and B be 2x2 matrices with |4|--2, |B|= 4 . Give the value of the following. If there is not…

A: * Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

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: Which of the matrices that follow are positive definite? Negative definite? Indefinite?

A:

Q: Let A and B be two 4x4 matrices with rank(A)<4. Then rank(AB)=4. E ((C Select one: OTrue OFalse

A: We know that  Rank(AB) = min{rank A, rank B} Since Rank A &lt; 4

Q: Express the matrix as a product of elementary matrices 2 2 07 [1 A = |0 L3 1 1 3 8 7 ]

A:

Q: Show that AB and BA are not equal for the given matrices. 1 1 1 1 5 2 2 2 A = B = 1 1 1 1 2 5 АВ ВА

A:

Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

A:

Q: 2. Assuming that all matrices are nxn and invertible, solve for D. CTB-A'BACDA²²B™C-2 = CT

A: We use properties of invertible matrices.

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

A:

Q: Find the product of the matrices. 1 1 2 3 1 3 4 5 6

A:

Q: Let A be a 4 x 4 matrix with |adj(A) = -8, then 2A.adj(2A) - (where 1, is 4 x 4 identity matrix)…

A: Given that: A is a 4x4 matrix.                       |adj(A)|=-8

Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

A:

Q: The product of two non-zero matrices is always non-zero. Select one: O True O False

A: the product of two non zero matrices is always non zero

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

A:

Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: 6. Give an example of two matrices, A and B, neither of which contains any zero entries whose…

A: Below mentioned a example related to this, you can construct many.

Q: 4. Verify whether the two given matrices are similar. Justify your answers Question a. [:] 1 1 3 1 A…

A: …

Q: Express the matrix and its inverse as products of elementary matrices. 10-2 A 0 5 4 0 0

A: NOTE: Refresh your page if you can't see any equations. .

Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

A:

Q: Perform Block Multiplications of Matrices A and B; i.e., find AB where: 1 0 1 2 3 4 0 1 5 6 7 8. A =…

A: The multiplication of 2 matrices is possible only when the number of colmuns of the first matrix is…

Q: Consider the two matrices: 2 4 1 B= -5 A= -3 Compute A+ 3B. The result is equal to:

A:

Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

A: Give an example of 2 × 2 matrix, in which A + B-1 = A-1 + B-1 is wrong.

Q: If a and b are the matrices of order 3 and (A)=5,(b)=3 then find the vailue of 3ab?

A:

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

A: Given statment is true for all the matrix which satisfies the commutative property otherwise…

Q: -0 의 B=[ 1 c=, 이1 1-0 1.where j--T, expres (a) Q3/B: If A = A.B, (b) B. C, (c) C.A and (d) A² in…

A:

Q: 2. Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 5 4 354 1 -1…

A:

Q: a. Prove that (A'B*)-1= (A-B-1)* and B are 3 x 3 matrices and %3D b. If |A| = 4 |B|= -1 compute…

A: I have used the property of  transpose and inverse of product of two matrices and then show the…

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")…

A:

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

A: Solution

Q: 3. Find the inverse of the matrix A = 1 0 -2 2 4] 1 3 2, if it exists. 5

A:

Q: 2. Orthogonally diagonalize the matrices. -4 4 1 5 (a) 5 1 (b) |-4 4 9

A: The given matrices are; a)  1 5       5 1 b).   7  -4  4        -4  5  0         4  0  9