63 Find the value of c that makes matrix A= defective Select one: a. -2 b. 0 C. 2 d. 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: 8. Find a, b and c such that the matrix a V2 V2 A = |b

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Q: Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

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Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: ) Find a matrix A such that 3 A -3 1 1 EEE A =

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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: Find the matrix E so that EB=C, where |1 a2 az 0 B2 B3 a1 a2 dz B= b, b, b, & C= |C1 C2 C3 with a,+0…

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Q: Which of the following is the LU-factorization of the matrix a) 1 b) 0 1 1 c) d)

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Q: 6. (a) Find the matrix A so that AB=C, where C1 C2 C3 b, b, bz 2 B= b, b2 b3 & C= C1 C2 C3) а, а аз…

A: AB=C

Q: Given the matrix 1 0 1 -1 1

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Q: 9. Solve the matrix equation C-A(X B) = D for X. Note that A, B, C, D, and X are all n x n…

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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: Find the specified change-of-coordinates matrix. Let B= {b1, b2) and C= {c, c2) be bases for R?,…

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Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Find the SVD of the matrix: 1 2 34 A = 0 0 0 0

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Q: c. Consider the multiplication AB is existing with the size (M × N) , where B is a matrix of size (L…

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Q: -42 -36 Let A= and let B = 33 15 Solve the matrix equation for X : 3X = 3A – B. %3D

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Q: tet A be an x n matrix satisfying A-3A + 1, = 0 where O is the nXnzero matrix. Then A-1 = 31, – A²

A: i have provided solution in step2.

Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

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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: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15

A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…

Q: The Harmitoniat is represented b The matrix H- (a

A: In this question, we have to find the eigenvalues and eigenvectors for the given matrix H=αϖ0ϖα000α…

Q: Find a matrix B such that AB = I, where [ ] 8 1 1 0 A = and I = -8 8 0 1 1 a b Hint: Let B = %3D c d…

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Q: i. Let A, B; 3x3 order square matrixes, Meets the conditions BA=A3 & A3 – 2AB = 1 Prove that A is…

A: Given that A, B; 3×3 order square matrixes, meets the conditions BA=A3 & A3-2AB=I.…

Q: Evaluate the element a31 in the matrix A given by: a11 a12 a13 A = a21 a22 a23 аз1 а32 a33 where: А…

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Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: 3.3. Let a matrix B is B = [, В -2 3 Find B6 by using a nonsingular matrix P such that D = P¯'BP is…

A: B=01-23 Characteristic equation of B is given by  λ2-trBλ+detB=0 where trB, detBdenotes the trace…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -4 0 4 A= 8 3-5 8 12 13 ..…

A: Topic :- matrix algebra

Q: A lower triangular matrix of matrix A is c. L = Ex Ek1... E, E,. ... Ek1 E, d. L = E, E, a. L = E,…

A: A lower triangular matrix of matrix A is  .......

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -5 0 4 A = 15 2 - 9 15 8 8…

A: Given that  The matrix A  To find the LU by using LU factorization

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: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 40 1 12 1 1 -4 10

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Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Q#01 For which three numbers c is this matrix not invertible, and why not? 2 с с A =|c c 87 c

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the elementary matrix E such that E A B where | 7 A = -15 -1 and B = 16 16 9. -15

A: The solution is given as

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). ol -4 2 A = 8-14 7 -1 4 3 11…

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Q: a For what values of a, b, and c is the matrix -a invertible?

A: For no values of a, b, c the given matrix is invertible.

Q: Determine LU decomposition and Cholesky LLT factorization of the matrix -1 A = -1 -1 -1 2 where E is…

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Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Determine the dimension 31 43 -8 21 Ab X of the matrix. AN

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Q: 口 WLJ 18) Which is the product of the matrix? [21 4] x L2] 13 O (8] 41 8 O (6] O [13]

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Q: [5 Let B =E dl: Is the matrix B orthogonally diagonalizable? If yes, find a diagonal matrix 2 0…

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Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 4 - 1 1 4 2 4 A = 4 10 8…

A: We have to write the U matrix using LU decomposition method.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.