2. Find the LU factorization of the following matrix. 1 1 A = | 1 2 3 1 3 6 /1

Q: Consider the following matrix 14 -1 -3 2 7 1 -2 A = 1 0 3 2 -3 -5 Find an LU-factorization of A. A…

A: 2.(b) Given matrix is                                                    A=14-1-3271-21035-12-3-5

Q: find an elementary matrix E that satisfies the given equation EC = D

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Q: (iv). Find det(A¯1) of the following matrix: 1 3 -1 2 1

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

A: Two matrices A=124213102 and B=124213226 are given. We have to calculate the matrix E that satisfies…

Q: Find the elementary matrix E such that EB = A where %3D 2 3 1 2 3 1 A = 4 -3 -2 and B = -8 6 4 7 -6…

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Q: 1. Find the cofgctor of 6 in matrix B. 4 り り

A: We will find out the cofactor of 6 for given matrix B.

Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

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: find an elementary matrix E that satisfies the given equation EA = B

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Q: Let A be an n × n matrix. Is it possible for A2+I = O in the case where n is odd? Answer the same…

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Q: (19) Calculate the products AD and BD for 1 Го 1 2 A = | 1 1 1 B = 3 4 5 and D = 3 1 1 7 8 -5 What…

A: Given matrix is : A=111111111B=012345678D=20003000-5 To find the value of AD and BD

Q: If A is any matrix, to what is tr (AA T) equal?

A: Let A=[aij] be n X n matrix. Then  AT=[a'ij] where a'ij=aji Let C=AAT=[cij] , where

Q: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 2 1 1 1 2 1 1 1 2 1 1 1 2 1

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Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

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Q: Suppose A is a 4 x 5 matrix with rank 4. Wha А? O Col (A) = R+ O Nothing O Col (A) # R O Col (A) =…

A: We cannot say anything about it. Since we do not know anything about its determinant. We just know…

Q: 2. Compute the following using the given matrix A. A= (a) A- (b) A + 2A +1

A: Inverse of matrix

Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

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Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

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Q: Find the elementary matrix E such that EB = A where 4 1 4 4 1 3 -1 -2 and B 18 -6 -12 %3D 5 -7 4 -7…

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Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). -2 0 4 A= 4 3 -3 4 18 30 L…

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Q: [1 2 2 3 1 0 1 1 4 4

A: Given matrix is  123101144find LU factorization of a given matrix

Q: 12 6 . Determine the rank and nullity of the matrix C=|0 1

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Q: Find the elementary matrix E such that EB = A where 4 1 2 4 6. 1 A = 2 -3 -1 and B = -4 2 6 -8 -8 2…

A: To find E such that EB = A

Q: 2. Decompose the given matrix as indicated: [25 5 4] 10 8 16 8 12 22 1 Answer:

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Q: 1 Diagonalize the given matrix if possible: A 4 -1 1 0 4 0 D = and P 0 2 1 3 4 4. D = 1 and P = -4…

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Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: Find the rank of the following matrix 1 1 47 4 2 3 1 7 5 2 7 L1 0 41.

A: the given matrix is A=1114423175271041 operate R2→R2-4R1 A=11140-2-1-1575271041 operate R3→R3-7R1…

Q: Find the rank of the following matrix. rank(A)- Question 8 grade: 0 1 2 1 1] 1 2 1 1 1 2 1 0 1 1 2…

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Q: 353 Reduce the following matrix to its r.r.e.f. 0. 0 -3-6 4 -1 2 -3 4 1. -2 0. 3-1 1 . 5 -9 -7

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is now convert into…

Q: Find a 3 × 2 matrix T, such that TT' = A, where 4 A = |4 3 3 5

A: Given: To find a 3 x 2 matrix T, such that TT' = A,  A = 540453035

Q: (4) Given matrix A = 3 and that h(T) = T² – 2T – 7, find h(T).

A: see 2nd step.

Q: -3] Let A be a 4 x 4 diagonalizable matrix, P = |–1 1 1 0 2 1 [1 01 P-1 D = |0 Lo 2 1 3 If P-1 A P =…

A: Given A be a 4×4 diagonalizable matrix. And given matrix is P=00−3−110102, D=100020002 and…

Q: Q.1 Consider the following matrix (-1 3 0Y A = 2 0 2 2 1 4 1 B- 2 -1 5 -3 0 1 10 C-2 A. Show that a.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the elementary matrix E such that EB = A where 4 4 1 4 4 1 A = |4 -3 -2 and B = | 20 -15 -10 7…

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

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Q: [1 Find a matrix A = -4 -51 = l3. y] 1 z such that A² 10 %3D Lo 1. Lo

A: Given A=1xy01z001 A2-0-4-50010000=I3 To find Matrix A:

Q: 4. Find the LU factorization of the following matrix (1 1 1V A = 2 3 2 3 8 2

A: according to our company guidelines we can answer first question (if specific is not asked) or only…

Q: [5] Find the inverse of the following 4x4 matrix , where k1 , k2 ,k3, k4 are all non zero [k 0 0 0'…

A: Given Matrix:                           A=k0001k0001k0001k   To determine:…

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: Find the minor M12 and cofactor A12 of matrix A. 1 6 A = 3 3 -2 0 1 8.

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Q: Which of the following is the LU-factorization of the matrix 1 0 a) Бая 0 1 0 -1] 1 1 0 b) :] 01 0 1…

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Q: Consider the following matrices. 1 A = 1 B = -2 -2 10 -12 8 Find an elementary matrix E such that EA…

A: Topic:- matrix algebra

Q: Let 6 A = E = F = 4 2 Compute the indicated matrix. (If this is not possible, enter DNE in any…

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Q: Use the following matrix. [1 0 4* E = 5 1 0 What is the order of matrix E?

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Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

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Q: 4. Consider the following matrix A, where -2 4 -2 4 A = 2 -6 -3 1 -3 8 2 -3 Find bases for and…

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Q: Let 3 -5 B = -3 Compute the indicated matrix. (If this is not possible, enter DNE in any single…

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