[1-2 Q:Evaluate A-3A+91 where A = 2 3 3 -1 and lisa unit matrix. -3 1 2 3.

Q: Consider the matrices. -1 7 2. L = 1 3 M -2 -6 - N= [1 2 3 4] -3 %3D -1 10 P = 0 0 and %3D What…

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Q: Given matrix 3705 6 1 1 1 0 26 4 1821 Find LU? A. 2 2 - - 13 17 19 39 48 1 4 - - 13 17 19 B.

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Q: Q2: Let A, B be matrices of size 3x3 such that and AB = A+2I A = -101 21 2 find A, B?

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Q: For the matrix A= 1 5 -i 8 7 9i 5i 2 3 B= 2 5 -i 8 3 9i 5i 5 3 Find 1- Transpose A* conjugate B 2-…

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Q: Г1 6 B = 3 2 Find the inverse matrix, B 1, by using the adjoint of B.

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Q: * For the matrix A, find det A 1. A = = | 3 -2 1 [2 |1 -1. det A = 25 O det A = -2 O det A = 1 O det…

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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: For non-null matrices A and B, of the same order, which of the following statements is true? А. А -…

A: We want to find true statement.

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

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

A: If A=abcd then A-1=1ad-bcd-b-ca ; ad-bc≠0.

Q: Solve for the value of x from the given matrix: [(x - 2) y (2z − j)] = [(y+z) j2 (x-1)]

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Q: Q/ A seume where I .4.3 A = and yasaxニメ+I 3. unit Matrix, Find YCA) ? is 526

A: Solution: The objective is to find y(A)

Q: For A= 3 1 6 2 find two nonzero matrices D and C such that DA=CA but D does not equal C.

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Q: 17. Apply the indicated operation to the matrix, then choose the correct matrix 3R1 + R1 3 2

A: Operation to the matrix: - The basic operations on the matrix are addition, subtraction, and…

Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y - z = 1      x+y+z=2…

A: The coefficient matrix is, Now,

Q: Let A 13 { 71 B = , and c-1 = [2 13 . If X is a matrix В 2B = Al, – XC then X is

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Q: Which of the following matrices corresponds to the inverse of the elementary row operation.. 3R1 +…

A: We have to find the matrix of given operation.

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: Let A, B be the matrices 2 1 3 1 1 0 -3 1 1 -1 A and B = %3D 2 -4 Solve with respect to X the…

A: We can simplify the matrix calculation and solve the value of x.

Q: For the quadratic form x²+ xz - 6yz = 0 in the matrix notation X'AX the matrix A is: 1 1

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Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y = 1   x-y=2

A: x+y=1 x-y=2 We need to find the inverse using A-1 =(1/detA)adj A

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

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Q: Which of the following is a product of elementary matrices for the matrix 4 = a) b) 4FI) 114 0 100…

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Q: For the matrix A = 0   5   8                   Cofactor C21?                               4    5…

A: We have to find cofactor C21 for the given matrix: A=058452944 Cofactor is the minor matrix…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 5 11 1 6 15…

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Q: Given the following bases for P2, find P the change of coordinates matrix from B to C. C-B B = {x² –…

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Q: DETERMINE THE FOLLOWING MATRIX [C] X [D] x +1 [C] = 2 -1 4 4 2x -3 3x 2 [D] = -1 -4 4 2

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Q: 1% B = [ c = |; 1= 6 1, where j = v=1, express (a) Q3/B: If A = A.B, (b) B. C, (c) C.A and (d) A² in…

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Q: Illustrate the Gersgorin theorem by the matrix 2 1+ 2i 0 A = -1 -2 – 2i 1/4 1/41/2 140 12 1/7 1/2…

A: We state the theorem and explain it with the help of the given matrix A.

Q: and Y = (1 1 -) If X =0 1. Find the matrix Z where Y = Xiz %3D -2

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Q: Find the inverse of the matrix and verify that B-1B = BB-1 = 1I3. 3 9 6 B = 0 6 6 -6 -3 0 B-1

A: To find inverse of the matrix B=   3   9   6   0   6   6-6-3   0

Q: Solve for the value of x from the given matrix: [(x-2) y (2z - j)] = [(y+z) j2 (x-1)]

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Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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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: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: For the Matrix  A= (  7    2    5 )                                       (   3    1     4 )…

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Q: Express the matrix I 0] A = 5 3 and its inverse as a product of two elementary matrices.

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Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: 5 -4 -3 Given that D = [3₁] B =[²36₁], and c = 7 2 x true? -6 Z -4 9 (1) DD¯¹ = D¯¹D = I₂ where 1₂…

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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: Write the following systems in the form Ax=b, where A is a 3x3 matrix of coefficients, x is a 3x1…

A: Consider the given system of the equation: y+3z=7+4x2y+x=1-5z6x-9=2y+3z Here, the objective is to…

Q: b) Consider the matrices C and D: C = D = -8 2 at 8.49.35 AM Calculate matrix 2C + 3D.

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Q: -1 -3 4 -3 4 For the matrices A =| -2 5 6. and B = -2 5 -4 show that | BA|H 4|| B | . -3 4 -2 -1

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Q: 4. For the matrix below, solve for A10. 31 A = 1 [310 + 1 310 – 3] [311 – 1 311 + 3] 1 [311 + 1 311…

A: Here the matrix A is given and we have to calculate A10 for the given matrix.   First find the…

Q: Q2.Find the rank of the matrix B. r1 -1 3- 4 B= 3 1 1 -1 1 1

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Q: 1 Use the formula A- = -b to find the inverse of the 2 x 2 matrix, if possible. (If an answer does…

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Q: -1 Find the matrix P that diagonalizes A = -2 and the resulting diagonal matrix D. 3 -1 D = P = Ex:…

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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 :