Q7. Let A is a 3 x 4 matrix that depends on c: 12 47 28 0 2 2] Then, solve the following questions: (a) For each c, find a basis for the columns space of A. (b) For each c, find a basis for the null space of A. (e) (Use a set notation to For each c, find the complete solution x to Ax = describe your solution if not unique.)

Q: Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u. 7 3. Let y =…

A: Find the orthogonal projection of the vector y on u., which will give the y^. Then to find z,…

Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: Consider the following matrix and vector: 1 0 A= -2 1-4 and x=₂ 0-3 6 Given that Ax-0 and x-1, find…

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Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: 6 and u = 5 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u.…

A: A vector has 2 components, magnitude and direction which is represented by cos and sin angles. A…

Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: , and c

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

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: Write Matlab program to find the sum of every row in matrix A: [3 - 4 81 - 3 A = -2 5 6 8. 413

A: % creating the Matrix A A=[3 -4 8; 5 4 -3; -2 1 5; 6 3 -8] A =3 -4 8 5 4 -3 -2 1 5 6 3 -8…

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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Q: Let A be the 3×3 matrix of zeros. Describe all solutions to Ax​=0.

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Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

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Q: Let y = and u= 3 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to…

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Q: the acdjainbaf square of As of 2.

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