Consider the following vectors, which you can copy and paste directly into Matlab. X = [2 1 4 3 2 4 3 1 1]; y = [4 2 4 4 4 6 4 6]; Use the vectors x and y to create the following matrix. 4 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 2 4 4 0 0 0 0 0 0 4 3 4 0 0 0 0 0 0 4 2 4 0 0 0 0 0 4 4 6 0 0 0 0 0 6 3 4 0 0 0 0 0 4 1 6 000000 61 240OOOO 0 0 OOOO 0 0 0 Such a matrix is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices. To check that you have correctly created the matrix A, verify that det(A) = 9.0624e+05. Find the dominant eigenvalue of A.

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices                                             A=10121132-1…

Q: Consider square matrices A & B where A#0, B#0,AB=0. Show that |A|=0 or |B|=0.

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The order of a…

Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

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

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Q: Let u = - 13 5 7 -1 - 5 and A = 12 -2 - -4 12-2 Is u in the subset of R³ spanned by the columns of…

A: Given that,

Q: Find the rank of the following matrices: 1 2 2 3 3 2 1 тank(A)— 2 3 таnk(A)—

A: We use the definition of the rank of a matrix to find the rank of given matrices.

Q: Find ATA for the matrix. Show that this product is symmetric.

A: The transpose of matrix A is,

Q: 3 Write MATLAB commands that do the following: Create the following matrix by using shorthand…

A: Here given matrix is the following :i) Assigining value in 4th row and 3rd column of A  : ii)…

Q: (a) (BH) By direct multiplication, show that the listed vectors z; are eigenvectors for C1, and find…

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Q: Consider the following matrix: 10 A = = 10 1 0 1 1 Explain why the columns of A are linearly…

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