Reduce the following matrix A to a diagonal form (A') by integer row and column operations and determine the integer matrix P1 and Q such that A' = QAP- is a diagonal matrix. %3D 3 1 -4 A = 2 -3 1 -4 6. -2

Q: Consider the following matrix A-( ) %3D If the cigenvalues of matrix A are 4 and 8, then r = 5, y =8…

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Q: a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank AT

A: 1) Given  7×5 matrix  rank(A)=2 using rank nullity theorem we have rank A + null A= number of…

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 -8 8 -4 A = 8 - 14 11 -5…

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Q: determine whether the given matrix A is diagonalizable. Where possible, find a matrix S such that…

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Q: Find an LUfactorization of the given matrix.

A: To Determine: find an LU factorization of the given matrix  Given: we have a matrix12-3-1…

Q: find an LU factorization of the given matrix.

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Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

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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: Let a = (a;) be an n-rowed square matrix and I12 be the matrix obtained by interchanging the first…

A: we have solved this question by using an example.

Q: Which of the following matrices is not in Row Echelon Form (REF)?

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Q: Find a 2 x 2 orthogonal matrix P whose first row is a multiple of (a) (3,–4), (b) (1,2).

A: Result: Rows (columns) of an orthogonal matrix are an orthonormal basis. Hence, each row (column)…

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Q: Determine the cofactor of a13 in the matrix. 2 -4 A =5 4 4 -4

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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: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: Find a matrix B in reduced row echelon form that is rowequivalent to A, using elementary matrices.

A: Given- 2-40013006 To find- Find a matrix B in reduced row echelon form that is row equivalent to A,…

Q: Find diagonal matrix D is similar with A a A =[? -5 And make sure can transtor diagomalizablewith

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

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: 2) If IAI = 3, where A is a 3x3 matrix, caleulate the folowing: 2a) det ( ZA) 26) det (A) 2c) det (…

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

A: Consider the given information. The multiplication of two matrix is possible if and only if the…

Q: 1 1 -1 6 A : -2 3 2 -4

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Q: FInd the Solution by Considering Attachment.

A: The method of mathematical induction can be followed to prove above result. Now, The given matrix is…

Q: Let A be the matrix a- [}] 3 1 A = Which answer is correct for the A ?

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

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Q: If A is a 6 × 8 matrix, what is the smallest possible dimension of Nul A?

A: Consider the provided matrix, Given, A is a 6 x 8 matrix. Since, the rank of A equals the number of…

Q: 1 Let A be a nonsingular 4 x 4 matrix such that |A-| = -2, then 4 Select one: O True O False

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Q: Compute the indicated power of the matrix.

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Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the - first…

A: Given that: det(A)=2

Q: Find the value of x so that the matrix is not invertible. 1. 3 2 0 [ 1 2 1 If answer is in decimal,…

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Q: Let A be the following matrix 7 4 4 4 After diagonalization, P and D are found such that A PDP !Find…

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Q: The order of the single matrix obtained from 1 1 -1 To 1 23 is 1 0 21 -1 0 2 2 0 3 2 (a) 2 x 3

A: Here the order of the matrix needs to find out for both terms. Subtraction and addition won't affect…

Q: 2. Let the rref of a matrix A be, 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6 Determine A if the first, second…

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Q: Suppose A = UDVT where U and V are n x n matrices with the property that UTU = I and %3D vTV = I,…

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Q: 2. Let A be a 7 x 5 matrix, and suppose AB is a 7 x 9 matrix for some matrix B. What must the size…

A: We know that matrix multiplication is possible only when number of column of first matrix is equal…

Q: Suppose A is a 3x3 matrix. Let B be the matrix obtained from A by performing the following…

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

A: The solution is given below

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

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Q: .

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Q: Let A be an nxn matrix and B= A+I, where / is the identity matrix, then it is possible for A and B…

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Q: If A is an n × n matrix, what are the entries on the main diagonal of A − AT ? Justify your answer.

A: Given A is an n x n matrix, we need to find the entries on the main diagonal of A- AT. Consider a 2…

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

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2) 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second…

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Q: Find an elementary matrix E that corresponds to the row operation of subtracting – 6 times Row 1…

A: Applying elementary row operation on identity matrix I we get the elementary matrix E.Now we find a…

Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the first row…

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