4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

Q: A is a 4 by 4 matrix with 1 's on the diagonal and -a, -b, -c on the diagonal above. Find A - 1 for…

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Q: Q3: What 3*3 matrix that will generate Figure2 from Figurel. (1,21 LIRAQIA UC2S)ERSITY (2,5) 2,2)…

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4. A = -4 -3 L U

A: We have to find L and U matrix.

Q: Find the characteristic equation of the matrix by inspection. 4 2] -6 0 0 6 0 0 5] 4 -9 LO

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

Q: Diagonalize the matrix 1 0 -1 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix…

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Q: a. Give the order of matrix.b. If A = [aij], identify a32 and a23, or explain why identification is…

A: We have to find: a. order of matrix b. a32 and a23 when A=ai j And matrix is given as A=4-75-68-1…

Q: Diagonalize B, i.e. Find the invertible matrix P and diagonal matrix D satisfying B = PDP¯1. (Note:…

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Q: Construct a 4x3 matrix A with rank 1. Select the correct choice and, if necessary, fill in the…

A: We construct a 4×3 matrix A with rank 1.

Q: Find the detemination of matrix:- B 1 2

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Q: Find the LU-factorization of following matrix. 1 2 3 8 14 2 6 13 4 A =

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 A= 12 2 -0 12 8 4,

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Q: Q2: You have the matrix 2 3 1 4 A = 4 3 5 2 1 4 3 1 How can we get the transpose of matrix A ?

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Q: 3. Diagonalize the matrix A = 1 -3 3 3 3 -5 -3 3 1 if possible.

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Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

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Q: find an LU factorization of the given matrix.

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Q: Compute the indicated power of the matrix.

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Q: What is the rank of the matrix?

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Q: find an LU factorization of the given matrix.

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Q: 3 Is the matrix a linear combination of the matri- and o o1? Justify your answer. ces

A: A matrix A is said to be expresses as a linear combination of two matrices B and C, if and only if…

Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: Find a non -2ERO 2x2 matRix A ouch +hat A2 = A=

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Q: ? Select a suitable option that would complete the figure matrix. 3.

A: We will use logic to find what figure comes here in the blank. To do this, we shall figure out the…

Q: Find an LU-factorization of the matrix.

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Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: Obtain a lower triangular square root of 3 3 the matrix 3 5 1 3 1 6

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Q: find an LU factorization of the given matrix.

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Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: 1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

A: An upper triangular matrix is one whose elements below the diagonal are zero. For A3 which is a 2×2…

Q: Find the rank of the matrix: 321 3 43 -1 2 2

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Q: Let A be an mtimes×n matrix and let B be an ntimes×p matrix. If the first row of A consists only of​…

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Q: Find the size of the matrix [3 2 −3 2 −5 −5]

A: Size of matrix is same as order of matrix

Q: 1 Describe the range of 3 2 as the kernel of another matrix. Justify your choice. 4

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Q: What is trace of matrix (2A+3B)

A: Find the trace of the matrix(2A+3B)

Q: Find the LU-factorization of following matrix. 1 1 2 3 5 4 6 8 1 A =

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Q: 6. () Is the following statement True or False? When a coefficient matrix is in reduced echelon…

A: Given statement is : When a co-efficient matrix is in reduced echelon form, the only members in the…

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: If we multiply a row in a matrix A by a real number r, JAl changes in r.

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Q: Find 2A-l if we have the matrix 2 1

A: A=32102A=232102A=2×32×22×12×02A=6420

Q: 3 (i);- 2

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: [2 3 find the invers of matrix A by using the elementary row operation, where A = 5.

A: For finding the inverse of any matrix A, at first we augment it with an identity matrix on the…

Q: I1,I2,I3 of th

A: Here we have;  11I1+4I2+3I3=-4-15I1+4I2+4I3=163I1+4I2+17I3=3 let;  AX=B  where  A=1143-15443417,…

Q: 1- the rank of the matrix A.

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Q: What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the…

A: In the given question, the matrix A is given as: A=248039007D=diagA=200030007