Given the matrices 1' 0 -1 (1 0 1\ B= 2 1 2 1 -1 A = 4 1 -2 {a) Find A-1, в-1, в -1АВ, and B-1A-'B.

Q: A is a 4 by 4 matrix with 1 's on the diagonal and -a, -b, -c on the diagonal above. Find A - 1 for…

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Q: If the order of the matrix A is (3 x 5) and Bis (5 x 6) then the order of the matrix (A - B) will be

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Q: Show that matrix A 5 1 0 5 cannot be diagonalized by using (λI-A)

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: Find a 2x2 matrix that forms an angle of n/3 cadians with the matrix P -- (: 9) 2 0 0 2

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Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: h-2 -4 -2 3 -6+3h -9 -5 8 Decompose the matrix A= -3 -1 6 into L and U matrices by using the method…

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Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0…

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Q: Find a 2 by 2  matrix that scales the point (x,y) by 0.5 in the x direction and 3 in the y…

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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: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: Find an orthogonal matrix whose first row is (1/3,2/3,2/3)

A: The rows of an orthogonal matrix forms an orthonormal basis. Therefore, consider the extended basis,

Q: Determine the matrix that produces the pair of rotations.30° about the y-axis and then 45° about the…

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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: What is the difference of matrices M=(-1,0,2)(0,-3,1) and N=(0,1,2)(0,0,-3)?

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Q: Create an matrix as follows 1- Set up the matrix A with its elements in order, the first column…

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Q: Suppose A and B are orthogonal matrices. Show that A", A-1, AB are also orthogonal.

A: we have given A and B are orthogonal matrices.  We have to show that the following

Q: 6.- For the matrices [A] g 3 -2 4 -2; [A] =-5 3 3 2 3

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: Due to what property, applied to the matrices and scalars below, do we know that c(A + B) = cA + cB…

A: Given: We have to state which property for c(A + B) = cA + cB and (c + d)A = cA + dA

Q: Formulate the method for adding partitioned matrices, and verify your method by partitioning the…

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Q: The vector -201 3 is a linear combination of the vectors 10 5 -3 and -9 if and only if the matrix…

A: Answer is in next step.

Q: Find two 3 x 3 matrices A and B such that A · B+ B · A Find a 3 x 3 matrix A that is not the zero…

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Q: Q1 Create an matrix as follows 1- Set up the matrix A with its elements in order, the first column…

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Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: It's given that A,B are invertible matrices and A is also symmetric. If C =BA , D=AB and…

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Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 2/3

A: 1. A matrix Q of order n×n is said to be an orthogonal matrix if, QTQ=QQT=In where QTrepresents…

Q: Supply a third column so that the matrix will be orthogonal: V5/5 2/3 2/5/5 -1/3 0 2/3

A: The given question is related with orthogonal matrix. Given the matrix ,…

Q: Using only 0's and l's, find the number n of possible 3 x 3 matrices in row canonical form.

A: We have to make all possible row echelon form ( row canonical matrices ) of 3×3 matrix with 0 and 1…

Q: 3 (i);- 2

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Q: A single row operation was performed on the matrix on the left to produce the matrix on the right.…

A: The row operations in matrix involves the switching of rows, multiplying a row by a constant and…

Q: 3 - 3 1 /- 1

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Q: Find the inverse of the matrix and verify that A-!A = AA1- 1. 4--10 A 3D 2. 8. A-1 Show My Work…

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Q: Find the elementary row operations that trans form the first matrix into the second, and then find…

A: we have to find the row operations

Q: 2. Solve for X in the given matrix equation (A – X) =B where A = 3 2 -1 ol and B = MIN2

A: We have to find X

Q: For matrices and 3 -8- -20 B = 8 show that A +B = 1 , 4 where / is the 2×2 identity matrix

A: Given the matrices :

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: Find 4x4 nilpotent matrices of indices 2, 3,  and 4

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Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: Find a 3 x 3 orthogonal matrix P whose first two rows are multiples of (а) (1,2,3) and (0, -2,3),…

A: To find the matrix

Q: 5. Solve the system of equations 3z-2z +2z = 10 z + 2-3z = -1 4, + za+2, = 3 (a) by Cramer's rule…

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Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: Find a 2x2 matrix that forms an angle of n/3 radians with the matrix P 2 0 p = 0 2

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Q: If Q-I- auu" where Qis an orthogonal matrix, a> 0, and u E Rx1 real vector, and I is nx n identity…

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