Find an orthogonal basis for the column space of the given matrix. -1 5 6 3 -6 2 2 1 6 1 -5 -2 a. b. C. d. 1 3 -2 3 2 1 3 2 3 I 3 3 -2 3 3 3 0 2 H 2 3 -3 2 3 3 CHEHO 2 ON

Q: that A = 6 8 -12 9 15 and B = 0 อ 0 are similar matrices by finding an invertible matrix P…

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Q: 11. 1 2 3 2 6 3 0 6 -6 -1 -2 -9 -1 0 7 0

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

Q: 11. Find a basis for the column space of the matrix. What is the nullity of the matrix? [-2 -4 4 3 6…

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Q: → Answer the following questions about BV 's, basic solutions, and bfs for this LP. Is there a basic…

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Q: Find the basis of row space of the matrix A given in the attached image . Please answer quickly .

A: A=1231337638-2-5-30326024351312R2⇒R2-3R1, R3⇒R3+2R1, R4⇒R4-2R1,…

Q: -61 -2 is A- = 23 1 3 (7) The inverse of the matrix A =-2 -5 1 26 %3D 6 7 8. Truc b. Fulue

A: Given: A=13−2−2−516723

Q: 1. Find A-¹ using elementary row operation to the augmented matrix. Let A = -2 10 0 0 4 2 -6 -12

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Q: The a basis for the column space and the rank of the given matrix A. Show all of your work,…

A: Column space is span of original columns corresponding to pivots columns.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

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Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: (1 2 and B 3 5 -5 1. Let A = 3 a. Find AB. b. Find s,t in B if AB = I , where I is the 2x2 identity…

A: Part (a)

Q: 1 3 1 6 -3 0 -18 4 12

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Q: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: 2 1 0 -1 3 1 Calculate the rank of the matrix P = 1 2 0 3 1 1 1 -1 - 5 -7 3 -

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Q: 5 3 0 1 Find the size of the matrix -30 50]

A: The objective is to find the size of the matrix.

Q: Find the inverse of the matrix, if it exists. A= -6 -6 4 - 3 OA. OC. 1 14 2 21 - 14 2 21 - || - || 1…

A: The matrix given us,

Q: The matrix A(4x3) = 3,-5,1 second row 1,1,1 third row -1,5,-2 fourth row 3,-7,8. Use the…

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Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: Find an orthogonal basis for the column space of the matrix to the right. -1 5 1 -7 1 - 1 1 -3 5 2 5…

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Q: Find a matrix such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal…

A: By changing the coordinates orthogonally, when we diagonalize a symmetric square matrix, it is known…

Q: The vectors 3 -4 u = -7 = 12 w = -8 -23 + k are linearly independent if and only if k #

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Q: 3 4 0 7 1 -5 2 -2 For the matrix A 4 3 -1 | What is the basis for the column space of A ? 4 7 { } 4…

A: The given matrix is: A=34071-52-2-14031-122

Q: Determine the dimension of the matrix. 3 -9 4 -8 -6 7 10 6 1

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Q: Find the characteristic values and characteristic vectors of the matrix [8 − 6 2 − 6 7 − 4 2 − 4 3 ]

A: Consider the given matrix. A=8-62-67-42-43 Now, find the characteristic values.…

Q: Given , (3 1 2 1 -1 2 C = |0 A = 2 \7 -5 4 1 B = 1 -1 1 2 5 3 1 1. 1 Find A-1, B-1 and C-1 by using:…

A: As per our guidelines I am solving only first matrix please resubmit other matrices

Q: a2 If the columns of the matrix A = -1 are orthogonal, then 2 -1 2 az = 1 a. O b. az = -1 C. a3 2 d.…

A: If column of matrix  A are orthogonal then  B = A^T A  Elements B(i,j) = 0 for i is not equal to j.

Q: ind the null space and the nullity of the matrix A. 1 -3 - 6 4 -2 5 4 2 9. -1 8 2 -6 9. -1 9 7 -1 -…

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Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: The given matrix and a vector, and .The objective is to write the vector  as a linear combination of…

Q: (12) Use the adjoint of matrix to find the third row fourth column element of the inverse of -1 1 4)…

A: Consider the given matrix as A=0-11432-21040110-11. The inverse of the matrix A is given by…

Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: 1 2 3 A = 1 3 2 2 6 8

A: See solution below

Q: 2. which of the following matrices is in row echelon form? 2 0 5 1 A. 2 8 В. 6 7 5 0 4 6. 1 D. 4 С.…

A: To find which of the following matrices is in row echelon form.A 205028607B 1103C 504307713D 1643

Q: en the matrix frix.

A: