1 2 5 203 5 3 4 (a) Write down the quadratic form corresponding to the matrix A =

Q: Let A and B be square matrices of order 4 such that |A| = -4 and |B| = -4. Find the following. (a)…

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Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: [2 -1 1] A = |1 1 2,x = |y| and b = |b2 [-1 5 4] a. Determine if the columns of the matrix A span…

A: We have to determine  whether the column of matrix A can span R^3

Q: Q1: For the given matrix A, find (a) The rank of the matrix A, (b) a basis for the row space (c) a…

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Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: 5. Describe to Mr. Dr. Prof. Meso how to input this matrix into mathway, and use mathway to reduce…

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Q: Let A be a 3 x 5 matrix in which not all entries are zero. (a) What size must the matrix B be for AB…

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Q: For the following matrices (or vectors) are given in Cartesian coordinates: 1½/21 A = [-4 3]…

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Q: () Write the statement of Cayley-Hamilton theorem for square matrices.

A: Cayley-Hamilton statement

Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

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Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

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

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2…

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Q: Part A) Compute the matrix-vector product Ax using the row-vector rule. Part B) Write the…

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Q: Consider A = 21 2 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

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Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

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Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

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Q: 1 8 Which of the entries in the matrix 2 -3 -7 9 A) 4 B) 1 Ⓒ-3 (D) -6 -61 4 has-37 as its cofactor?…

A: We have to find correct option by finding element whose cofactor is -37

Q: 2 3 10 2 A = 5 4 9 2 3 1 3 multiplying the matrices, explain why A is not invertib

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Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: -) Let A, B be nx n symmetric matrices such that XTAX = X™BX for all %3D column vectors X e R". Show…

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: b) Evaluate det[(2A)-1 (3A")], where A is any invertible (2 x 2) matrix.

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Q: A = [2 -1 0 1; 3 5 7 -1; 1 4 2 7] List the row and column vectors of the matrix.

A: Given :                 A = 2-101; 357-1 ; 1427 To find :               List the row and column…

Q: T [2 1 -1 A + 1 = |0 5 2 4 3 8 [8 07 (b) 34" ЗАТ + 2

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