1 2 20 3 3 0

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: Determine if the columns of the matrix A = - 2 1 4 0 84 4 t 0 are linearly independent.

A: Here we need to show that columns of matrix A are linearly dependent or independent.We all know that…

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 a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

Q: [2 3 4 A = 13 | من بن 2]

A: Tje solution is given in the next step.

Q: Let (13). Which of the following matrices is a solution X of the equation O O 4 = (1²₂3) A O and B =…

A: Topic = Matrix

Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

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Q: Let A and B be two square matrices of order n over a fiéid F and AEF Then (I) tr (AA)=d Ir A; (2) Ir…

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Q: 9. Do the columns of the matrix A = 7. span R

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

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Q: -2 1 2 1

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Q: Find a 3 x 3 matrix A such that 1 -5 A 3 A 1 -3 and -2 A 4 1 -5 A = 3. ||

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Q: Let A be an m × n matrix. Under what circumstances will ||A||2 = ||A||F?

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Q: Factorize the matrix into LU decomposition. A=[ 054 512 123 Note; With complete solution

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

Q: Find the size of the matrix 0.

A: Count the number of rows and columns

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: Consider the following function; Q(x1, x2, X3) = 2x? + 3x? – xž + 5x1x3 + x2x3 Find the matrix A…

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Q: Find the matrix A of the quadratic form associated with the equation. 9x² + 6xy - 8y² - 72 = 0 8.3 A…

A: Let us consider the quadratic form Ax2+Bxy+Cy2+D=0 then the matrix form is  AB2B2C

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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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: O Solve the following matrix equation for the matrix X: +2X + 2 3 diag(2,3) 8 6

A: We will solve this equation and find the value of matrix X.

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

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Find an SVD of the matrix. A=

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Q: A = II 18x28xy + 18y² - 74 = 0

A: We can write any polynomial into quadratic form  if power is same eg: here x^2, Y^2, XY all have…

Q: Find a QR factorization of the matrix [1, 2, 4] [-1, -3, -3] [0, 1, 1] [-1, -1, -1] [1, 2, 4]

A: Given matrixA=[124−1−3−3011−1−1−1124]A=QR, where Q is 5×3 matrix with orthonormal Columns and R is…

Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: 2. Find a real 2 × 2 matrix A (other than A =I) such that Aº = I . %3D

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Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

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