Given the matrices A and B, calculate [A, B]. 6+ 3i B = 7 9 i A = 3+i 2-i +i 4 a11 a12 [A, B] = a21 a22, Answers: a11 =- a12 =- a21 = - a22 =-

Q: Let E be the 3×3 matrix that corresponds to the row operation R3=R3+R1

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Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: Apply two row operations below to the 2 by 2 identity matrix, in order. i. -7a1 + az → a2 ii. a1 –…

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Q: Given the matrices below and that A = LU, solve Ax = b. 1 -2 -3 11 A = -3 -7 b = 33 -4 9 12 –39 [i…

A: We use LU-decomposition method to find the value of x.

Q: Find the matrix product ABC by grouping the factors as (AB)C and grouping the factors as A(BC). Show…

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Q: For the matrices -3 1 -2 A = and B = 5 in M2,2, determine whether the given matrix is a linear…

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Q: If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 d -b A-1…

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Q: Find the products AB and BA for the diagonal matrices.

A: Given matrix:

Q: se the matrix P to determine if the matrices A and A' are similar. 14 3 -2 P = 1 A = A' -20 -13 2 -2…

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Q: In a mechanical system, acceleration a , velocity v, and distance S, are related by the simultaneous…

A: Given equations are 3.4a - 13.2s + 7v = -11.39   →(1)-6a + 3.5s + 4v = 4.98        →(2)2.7a + 7.1s +…

Q: -2 Find C2, where matrix C = [3/2 c. Lis 22! d. Lio 21 101 а. 15 l10 22] 3 b.;

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Q: Find the matrix product ABC by (a) grouping the factors as (AB)C, and (b) grouping the factors as…

A: A = 1234 B = 0123 C = 3001AB = 1→2→340↓1↓23      = (0+4)(1+6)(0+8)(3+12)      = 47815 — (1)BC  =…

Q: (b) For the matrix A= (1) (ii) det (4) 3 27 16 [56] find:

A: Given :A=3216

Q: For the two matrices shown, find the addition -4 6 3 -4 6 3 0 1 2 + 0 1 2

A: Given two matrices are  -463012 and         -463012find the addition of these two matrices

Q: For square matrices A and B, which of the matrices below are equal to AB? II. (AªB"} I. a. I only b.…

A: Solution

Q: Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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Q: Find inverse matrix A by using adjoint method where 1 2 3 4 15 6 0 2 A =

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Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Find the inverse of the matrix using elementary matrices a) 2. b) 3. 2. c) 2. d) 1 3. 1.

A: Given : Matrix 2-310 To find : Inverse of given matrix by using elementary matrices?

Q: Use the matrices to show that matrix multiplication is associative. [1 B= 1 -2 5 %3D and C = 3. 2 4…

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Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

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Q: For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter…

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Q: Given the matrices A = - -4 0 4 [ 5 B. If my not possible possible -2 -2 - and B -2 0 189 0 3 3 2 A.…

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Q: 3- For matrices A and B given below, determine а) ЗА - 4 В b) А. "В c) A * (- B) d) A(3) + B(1,end)…

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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: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: Find the values of a and b that make the matrices A and B equal.

A: Solution:Given     A=34-1a,      B=b4-15Given Matrix A and B are equal.To find a and b.

Q: Find the inverse of the matrix and verify that A-1 A = AA-1 =  I2 and B-1 B = BB-1 = I3.

A: Given matrix: A=7432

Q: For the Matrix       3   5  0 A-  2    5  4       2    5  0 what is the element in the first row and…

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Q: * Show that if R3 of B (where B is some matrix) is replaced by R3 + R3 – 4R1 the result is EB, where…

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Q: Choose the correct:  If A is square matrix such that              A2= A, then (I + A)³ – 7 A is…

A: Given that, A is a square matrix

Q: Compute the product AB by the definition of the product of matrices, where Ab, and Ab, are computed…

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Q: d) Consider the following matrices: and B- 2 Find: A- i) (2AB) -1

A: Given A = 1-32-4 and B-1 = 21-11

Q: Apply two row operations below to the 2 by 2 identity matrix, in order. i. 7a1 + a2 → a2 ii. a1 + a2…

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Q: Let A be a 3 x 3 matrix, and suppose that the matrix B is obtained from A by the following row…

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Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: uppose A = B+C where B is symmetric and C is skew-symmetric 5 6 :) matrices, B = then b12 b22 O a.…

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Q: Answer the following questions using the matrices below. A = and B- 2. a. Compute (A+ B). b. Compute…

A: Given A=3102, B=4-221

Q: For the two matrices shown, find the * addition 2 1 - 1 1 1 2 1 - 2 - 2 3 2 1 3 1 2 1 1

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Q: For beams q(x) = [N]{q}. The matrix [B] is defined as [B] = (d/ds)[N] = [B1, B2, B3, B4]. Select the…

A: Using Eigen values,and Fourier formula is integral of -(12s-6)

Q: For the matrices shown, find (A' + B') 1 2 1 -3 -1 0 3 3 -1 4 1 4 B = A = 1 1 6

A: A' is Transpose of matrix A

Q: For the two matrices shown, find the * addition 2 1 -1 1 1 2 1 - 2 3 2 1 3 - 2 1 2 1 1

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Q: Find ∣A∣, ∣B∣, and ∣AB∣ for the matrices

A: given: A=1-22032101 B=2010-1-231-2

Q: The matrices A, B and C are given by - -2 -1 2 1 -3 2 - 1 -1 4 A= -1 2 -1 B= 2 2 1 C= -1 3 2 3 3 -2…

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Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.

Q: Give the two matrices, [1 2 3] 1 1 A = |1 1 2 and B= 2 1 2 0 1 2 1 2 (d) Find (AB)-1 and (BA)-1.

A: Explanation: Given that,                          Here both matrix are 3*3. So, multiplication is…