add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

Q: Find the nullspace of the matrix

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Q: Find the transpose of the Attached matrices

A: Transpose of a matrix is obtained by interchanging the rows into columns and columns into rows.

Q: Find the rank of the matrix 2. 1. 4 -2 3 3 -7 3.

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Q5 Find a set of similar matrices to the matrix

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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 the matrix A if 21 . 2. 1 3 1 3

A: 21-13A =4213Now we have to find the inverse of the matrix 21-13

Q: Find a matrix P that diagonalizes 10 0 A = 1 20 -3 5 2

A: Given matrix is A=100120-352 Since A is lower triangular matrix. So, eigenvalues of A are the…

Q: find an LU factorization of the given matrix.

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Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: Q5 Find a set of similar matrices to the matrix 2 0 3

A: Solve for the similiar matrix

Q: find an LU factorization of the given matrix.

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

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Q: Use the matrix below. B =    3 0 0 3   −4 −4 1 9 4 −5 −11 8 Write the negative of matrix B.

A: Given that: B=3003-4-4194-5-118

Q: Find a non-zero, two-by-two matrix such that: 6 -7 0 0 -30 35 0 0

A: Nonzero matrix and it's multiplication

Q: Let the matrix A be given by -11 1. -5 0 2. -1 3

A: Given matrix is 10-11 21-50 1-100 0003 To find:  Minor M11 Cofactor C11

Q: find an LU factorization of the given matrix.

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Q: Find the rank of the following matrix. 3 6 5 12 1 2 2 1 2 1 5 2

A: To find the rank of the given 3x4 matrix?

Q: Determine whether BC is defined. If it is defined, express the result as a single matrix; if it is…

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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: Let A be an n × n matrix and let B = A + I. Is it possible for A and B to be similar? Explain.

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Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

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 transpose of the matrix. 0 1 7 2 -1 2 8 5.

A: Given that  The matrix is  To find the transpose of the matrix is

Q: Find the transpose of the matrix. 1 4 62 4 98 3 6 8 9 0 2 3 08

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Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

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Q: f the matrix 4 3 7 0 51 ¹2 + 3 8 10 8 102

A: Determinant=1757

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

A: Size of matrix is same as order of matrix

Q: Find the transpose of the matrix. 10 3 6 857 10 3 4 10 3 6 The transpose of 857 is 10 3 4

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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: Express the column matrix b as a linear combination of the celumns of 4. (Use A, A» an A = b =

A: We will use three colums of A as A1, A2, A3 and then solve it in step 2.

Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Find a non-zero 2 × 2 matrix such that -5 -1 25

A: Let a 2×2 matrix be: abcd such that: -5-1255 abcd=0000

Q: Which matrix is singular? 2 03 1, -3 0(2 6 6. 6 -3 2 1 13 26

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

A: Given, A=-21-64

Q: Write a 4  6 matrix with distinct non-positive entries and find its transpose.

A: The objective is to write a 4×6 matrix with distinct non-positive entries and find its transpose .

Q: FIND THE SIZE OF THE MATRIX 2. 4 - 2

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Q: Determine the value of the given element of the matrix A= 1 1 9 4 3 8. 1 11 7 2.3 1 6 6 9 a

A: (a)41 represents the element of the matrix A which is at fourth row and first column.

Q: Find an LU-factorization of the matrix.

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Q: Determine the size of the matrix. 8 6 4 13 2 1 -7 4 1 Submit Answer

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Q: Find a family of the matrices that is similar to the matrix P=8 4 -3

A: To Determine: find a family of matrices which is similar to the matrix Q where P=8 . Given: we have…

Q: Find the matrix A if 4 1 A -1 3 2 3 1 4

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Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 0-4 2] 01-5-5…

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Q: Give an example of a nonzero 3 x 3 diagonal matrix A. A =

A: Diagonal Matrix: In linear algebra, a diagonal matrix is a matrix in which the entries outside the…

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

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A: Given matrix- 121556438964 We need to write third column of matrix as a linear combination of the…