Find A of the matrix 1- A = 2. -4 2. 1.

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

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

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: Construct a 2 x 3 matrix A such that the solution set of the equation Ax = 0 is a line in R3.

A: a)       Result of a system with 2×3 coefficient matrix is a line when system has one free variable.…

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 the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Find the singular values of the given matrix.

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Q: Find an LUfactorization of the given matrix.

A: Given, To find LU factorization of the given matrix.

Q: find an LU factorization of the given matrix.

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 -4 A = 4-4 3. - 1 18 -3

A: The LU factorization of a matrix A is writing A as the product of matrices L and U, where L is a…

Q: 2. For the matrix 2 2 -1 B -3 3 find its Pseduoinverse Bt and the 2-norm ||B*||2.

A: Given : B=212-1-1-3-13 To find : pseudoinverse B+ and the 2-norm ∥B+∥2

Q: Find the SVD of matrix A [1 2 3] A= 2 4 5 L3 5 1.

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Q: find the twelfth pawer X of the matrix X that satusfies the Equation 12 X A = AD

A: XA=AD⇒X=ADA-1⇒X12=ADA-112=ADA-1·ADA-1·…·ADA-1=ADA-1ADA-1A·…·A-1ADA-1=AD12A-1

Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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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: -2 1 2 1

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Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: Find the characteristic equation of the matrix by inspection. 2 -5 9 6 -3 0 0 4 0 0 8

A: Given that: 2-5960-30000400008 The characteristics equation is given by the formulas, detA-λI=0

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 the singular values of the given matrix.

A: Given; Matrix A To find: Singular Values of A  Procedure: Calculate eigenvalues of ATA. The…

Q: Find ∣A−1∣ for the matrix

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Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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

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Q: Use the method of Example 6 to compute the matrix A10, where 1 0 6 2 A =

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Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

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Q: Enter a 3 x 3 symmetric matrix A that has entries au = 5, az2 = 4, a33 = 0, a12 = 2, a3ı = 1, and…

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Q: Find the co-factor of element 4 for a given matrix shown below(4 at 2nd row, 3rd column). 1 2 A = 2…

A: Here we have to find cofactor of 4

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 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: 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: Find the inserve if it exists, of the following matrix. 1 2 1 1 1 2

A: The give matrix  is, 1 1 -1 2 -1 1 1 1 2 The determinant of the above  matrix is,…

Q: 2) Find the rank of the matrix A = 2 3 -1 ー1 1- ー2 -4 3. 3 -2 3. By deducing imto Echelon form.

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Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

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Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

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

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

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: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

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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: 2. Solve for X in the given matrix equation (A – X) =B where A = 3 2 -1 ol and B = MIN2

A: We have to find X

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 an LU factorization of the matrix A. 3 -1 3) A- - 18 1 0][ 3 1 A) A= B) A = 10 3 -1 0-3 -6 1 0…

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Q: 1. Identify the two-by-two matrix with matrix elements a;j = i – j. O (1 (금) ㅇ(9) (오 ㅇ (? )

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Q: • The Matrix B from 3 x 2 at b, = -1+; is го 1. 2.

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Q: 1) Find a diagonal matrix A that satisfies A-2 20,

A: Here, we need to find a diagonal matrix A such that A-2=2004

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.