1. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 l2 0 1 4 solve for det inv A.

Q: Given the matrix 4 3 1 0 0 2 0 0 7 Which of the following statements is %3D 21 p1755 290 true? 1755…

A: To find Which of the given statement is true.

Q: 1. Given the following matrices: 0 11 A = 10 0 1 4- Evaluate a. [(AC) BT] - DT. b. [(BD) TCT]A ¹2 3…

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Q: I. Find the single matrix equal to the following: [0.3 0.1 0 03 [7001 1. A = 2. A = [0.7 [10001 lo.1…

A: Note: According to the guidelines only three parts will be answered please upload other parts…

Q: [1 2] Find a matrix X such that AXB = C, where A = 2 1 0 0 [2 0 B and 0 1 1 1 C = 0 1 -1

A: For multiplication of the two matrices there is a condition which says Number of column of first…

Q: 1. Given the matrix B below, -1 0 2 31 2 -1 3 2 4 3 B = 1 2 0 71 2 0 Solve for det inv B.

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Q: 1. Given the matrix A below, 1 1 |0 2 A = 2 1 1 2 0 1 4 L2 0 1 solve for det inv A.

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Q: (5 3 Problem 5. Let A= 2 1 (a) Calculate A-1 by any method. (b) Using your answer to (a), explicitly…

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Q: One of the following is not an elementary matrix 100 a) 010 b) 0 60 00 1 00 1 [100 00 1 c) 01 2 d)…

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Q: 1. Find the general solution of x =x2 – x1 + t, x, =x2. 1 2 3 2. Explain why we cannot aclculate the…

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Q: 2. Let 2 25 IO -1 23 7 013 and B= 32-1 23-2 A = a) If possible, invert the matnx A b) then solve the…

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Q: 1. Given the matrix A below, r1 1 11 0 2 1 A = 2 1 L2 0 1 1 4. solve for det inv A.

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Q: 1. Given the matrix A below, [1 1 0 2 1 2 A = 2 10 1 L2 0 1 41 solve for det inv A.

A: The solution is given as

Q: One of the following is not an elementary matrix 100 100 a) 0 0 1 b) 0-50 020 0 0 1 104 00 1 010 d)…

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Q: h(T) = T 2 − 2T − 7,

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Q: [1 Find the value(s) of x for which the matrix 2 Lo 3x -1 0 is not invertible. 3 1.

A: The given matrix is 13-12x003x1. The matrix is said to be non invertible if determinant of the…

Q: 1. Given the matrix A below, [1 1 0 2 1 A = 0. L2 0 1 solve for det inv A. 1214

A: In the question it is asked to calculate det inv A. We can write det(A-1) = 1det(A).

Q: Question 5 Suppose that A is an n x n matrix that satisfies the condition A² - 2A + I = 0. Use this…

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Q: 6. The trace of the n x n matrix A, denoted Tr A, is the sum of the entries on the main diagonal: Tr…

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Q: onsider the given matrix below. S-1 = [ 1 1 1            1 1 2            1 -1 1 ]

A: Given,                     S-1=1111121-11To find Matrix S.

Q: ( ( ). -1 (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(A).

A: Now we will find h(A)

Q: (1 2 3 Q15. Apply Gauss-Jordan method to find the inverse of the matrix 0 1 2 3 1 1

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Q: Q4. In the iterative formula Gn+1 = D¯'(C – AG„), what 20 20 -1 -1 20 15/ -1 20 '15 20 0 20 (20 -1…

A: D is the diagonal matrix, G(n+1) is the (n+1)th iteration of the roots.

Q: 1. Given the matrix A below, г1 1 0 11 A = 1 2 2 1 L2 0 1 4 solve for det inv A.

A: Given matrix is

Q: Problem 5. Prove that for any matrix A = (aij) E M„(R), det(A) = eod1o(1)d2o(2) · · · Ano(n) ...

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Q: 14. Among the following reduced augmented matrices. Which corresponding system of equations has NO…

A: Given the augmented matrices we write the corresponding system of equations in the variables x,y,z

Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

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Q: (1 2 -1 2) 5. Consider the following augmented matrix: 0 1 1 What is the next step in the Gaus- 0 1…

A: Gaussian elimination process: Given augmented matrix: 12-1011011204

Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T). 5

A: i have answered this question in step 2.

Q: 1 3 2 6. 4 7. Find AB + AC, if A = [5 6, B = -- and C = 2 3 - 3 5 2 5 4 1 40 А. 48 D. 7 B. [48 7 51]…

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Q: (1 4 6 8 0 2 3 4 0 0 3 8 \0 0 0 4 Is the matrix A = singular? Why? Find A- if it exists.

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Q: Q1- for the matrix below: [2 3 7 X = |4 8 9 l6 5 1. [2 2 21 1-Extract the matrix a=|4 4 4 l6 6 6] [2…

A: Given that,x=237489651a=222444666b=237489

Q: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: 1 0 21 21 4. If M = -1 3 4 and B: = 3 4 078 L5 61 Find the matrix C such that MC = B.

A: To find- If M = 102-134078 and B = 123456 Find the matrix C such that MC = B

Q: 1. Given the matrix A below, г1 1 0 2 0 1 1 2 A 2 1 L2 1 1 4. solve for det inv A. ||

A: Let's find.

Q: QUESTION 3 Consider the matrix E. (13 10 6' E = 10 %3D 6. 15 14 |E| = |E| : %3D

A: The given matrix is,E = 13106105615145

Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

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Q: b)Find the matrix exponential ?KL (using the Jordan form) and the analytical solution of ?(?) for…

A: Solution is given below

Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 2 ¹2 0 0 11 2 1 1 1 0 1 0 1 4

A: Here we have to use the row operation method.

Q: 4.3.5 ND Prove that x = 0 is the only solution to Ar = 0 if and only if the rank of the px q matrix…

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Q: 2) Consider the matrices A = 1 D = [ ] B = K1 = 6 1, K2 = L10 2 [5 l10 2. Solve AX + BY = K1 CX + DY…

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Q: 3. Find the matrix E-' where 1 0 0 E = 1 -4 0 1

A: Given problem is :

Q: (4) Given matrix A = ( 2 −1 3 5 ) , and that h(T) = T 2 − 2T − 7, find h(T). ??????? ??? ? (1) A…

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Q: Let A be the matrix in Problem 3.69(a). Find X1,X2,X3, X4, where (a) X, is the solution of AX = B1,…

A: Given: a) A = 1-1-13-4-22-3-2 and B1 =111 b) Xk is solution of AX = Bk, where Bk = Bk-1+Xk-1.

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 0 11 02 1 1 2 1 0 1 0 14J ¹2

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Q: Are there values of rand s for which i 0 0 r- 5 0 s-4 r+ 5 0 0 has rank 1 or 2? If so, find those…

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Q: (4) Given matrix A= and that h(T) = T – 2T – 7, find h(T).

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Q: 1. Given the matrix A below, [1 1 0 1] 0 2 1 2 A 2 1 0 1 L2 0 1 41 solve for det inv A.

A: Det(inv A ) =1/Det(A).