Find the elementary matrix E such that EB = A where %3D 2 1 1 24 1 A = 4 --2 and B -12 -8 3 6. -8 3 0 0 0 6 0 0 0 1 E = 1

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A: a) A matrix is upper triangular if all the elements below the main diagonal is zero Hence it is not…

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 an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 1 3 A = | 0 -5 -6 0 3 4 0 0 0 0…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Which of the following is an elementary matrix, E, such that EA= B for 1 %3D 1 0 1 A = 2 2 and B = 1…

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Q: The identity Matrix is defined by 1 а. 1 1 1. b. 0 1 1 C. 1 1 d. 1 1 Select one: а. с b. d С. а

A: Here we identify the identity matrix.

Q: Use the elementary matrix E to find E A using an elementary row operation. - 0 2 -1 -9 8 E = 1 A = 7…

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

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Q: Find a matrix B such that AB = I, where 6 1 A = 1 0 0 1 and I = -6 6 a b Hint: Let B =c d

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Q: find an elementary matrix E that satisfies the given equation E C =A

A: EC = A ECC-1 = AC-1 Hence, E = AC-1

Q: Find the elementary matrix E such that EB = A where 3 3 3 -12 A 3 -1 -2 and B 4 8. 8 -7 3 8. -7 3 |…

A: The inverse of a matrix can be calculated by following steps  1 calculate the minor for the given…

Q: Give the value(s) of a for which the columns in the matrix 9 6 -6+a A= 6 12 -6 -6+a -6 are linearly…

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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: en C = 13 1 1 1 3 -) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹C P-1 = pt) Find ¹0

A: C=311131113 Eigen value equation C-λI=0

Q: snip

A: Given matrices are 110-1 , 1-110 and 1032 Writing these in the form of linear combination x* 110-1 +…

Q: Find elementary matrices e and e2 such that di 0 e2 = 1 5 1 5 e1 0 dz) for some numbers d and d2.

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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: 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: Use the elementary matrix E to find EA using an elementary rov operation. 1 0 0 -8 -7 4 1 E = 1 -4 |…

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Q: Use the elementary matrix E to find E A using an elementary row operation. [1 0 0 8 E = A = 1 0 0 0…

A: To find EA

Q: Find the inverse of the given elementary matrix. 1 0 0 0 1 C,C+ 0 0 0 1

A: topic - inverse of a matrix

Q: 5 a 1 28 6 2 Find all a and 3 > 0 so that the matrix B = is 2 a diagonally dominant;

A: Consider a square matrix . Then the matrix is said to be diagonally dominant if it satisfies the…

Q: Find the elementary matrix E such that EB = A where 2 4 1 4 A = 2 -2 9 -8 -1 and B = -4 4 2 4 9. -8…

A: NOTE: Refresh your page if you can't see any equations. .

Q: -4 Find the change-of-coordinates matrix from B to C. - 10 Let B- (b, (b.b2) and C- (c,,©2} be bases…

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Q: 1 a b a,b,c e R including A = 0 10 0 0 100 Let the matrix be given. According to this,

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Q: Find the elementary matrix Ej such that EA = B where 7 A =4 -11 -1 and B = 4 -11 -1 5 6 5 1 12 1 12…

A: We have to solve given problem:

Q: Consider the following two elementary matrices. 1. E1 - E2 = Suppose that A is a 2 × 2 matrix such…

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Q: Find the inverse of the matrix (if it exists). (Round your answers to four decimal places. If an…

A: Given,             0.20-0.40.8-10.710-0.9

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 0 0 A= 30 -2 -10 -2 -15 0 000…

A: Solution:

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: Use the elementary matrix E to find EA using an elementary row operation. 0 0 1 -2 9 -3 E = 0 1 3 5…

A: From the given problem: E=001010100 & A=-29-3325-4-97

Q: Find the elementary matrix E such that EC = A where 3 3 -2 1 3 3 1 A 4 -1 and C 4 -2 -1 -6 3 20 9. 8…

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Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 5 0 0 0 5 .C -1…

A: A matrix is a diagonal matrix if it has non zero entries only at the principal diagonal while all…

Q: Find an elementary matrix E that satisfies the stated equations. 8. 1 5 8 5 8. 1 5 B = 2 -7 D -6 21…

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Q: Find the inverse of the matrix (if it exists). (Round your answers to four decimal places. If an…

A: Given that, the matrix is A=0.20-0.40.9-10.710-0.3. It is known that, the formula for the inverse of…

Q: Which of the following is a product of elementary matrices for the matrix A = 1 0 T-1 01 0 a) -3 14…

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Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

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

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Q: Find the elementary matrix E such that EC = A where 3 3 -3 1 3 3 1 A = -1 and C = 2 -3 | 8 -7 2 23…

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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: Find a matrix C such that A = CB for the matrices 1 4 5] A = |-2 0 1 3 1 0 -4 0 2] B= | 1 4 5 5 5…

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Q: 5. Find the cofactors and the adjoint matrix of A where (1 1 -1 b) A =|2 3 7 0 -1 a) A =-2 0 -2 4 -3…

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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: 1 0 1 3 0 2 6. Let A = and B = %3D 5 1 (a) Calculate the matrix Aª.

A: given matrix  A=1051 (a') to find A4 multiply the matrices using matrix multiplication. A4=A2·A2…

Q: Let A and B be -3 2 -3 2 2 1 A = 0 1 -1 B = 2 2 1 2 0 1 -1 Find an elementary matrix E such that EB…

A: We have to find the matrix E such that  EB=A. To find E we will find B-1 so that  E=AB-1. Post…

Q: Find an invertible matrix P and a diagonal matrix D such that P¹AP=D. -11 2 -6 A = 12 -1 6 16 -4 9…

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Q: Let A be a 5×4 matrix. What must a and b be in order to define T : Rª→Rº by T(x) = Ax? a = (Simplify…

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Q: -4 Let A = Find a matrix B such that AB=I. 1 - 1 1 O a) 4 O b) 1 1 4 3. c) - 3. 3 1 4 3. o d) 3. 4…

A: To find a matrix B such that AB=I

Q: Find the elementary matrix E such that EC = A where %3D 4 4 A = |3 -1 and C = 3 0. -1 9 -8 19 0 4 ?…

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