TRANSFORM A to reduced row echelon form. (b) FIND a basis for N ul(A), and STATE dim[N ul(A)]. A= [2 -6 4 8, -3 9 -2 -7, 3 -9 -2 2]

Q: The set B = {4x²3, 12x² (9+x), 38+ 3x - 48x²} is a basis for P₂. Find the coordinates of p(x) = 44+…

A: Given; B=(4x2-3, 12x2-(9+x), 38+3x-48x2) p(x)=44+3x-56x2

Q: , find the change-of-coordinates matrix from the basis B= {1– 2t +t?,3 - 5t + 41,2- 2t + 5t?} to the…

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Q: 2 . B = 6 : J.c = ( 1. and V = |1. What is the sum of the entries of the [1 Let A %3D 4 5 matrix…

A: We want to find sum of entries of given expression

Q: Given 4 1 -3 -1 2 A = 3 4 -6 8 0 -1 3 Find a basis of the row space of A.

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Q: X1 3x2 + 5x3 + 15x4 T(x) = |3x₁ + 8x2 − 2x3 − 23x4 4x17x2 + x3 - 16x4

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Q: and Nullity(A) ented by a column what wo

A: In mathematics, a set B of vectors in a vector space V is called a basis if every element of V may…

Q: Find a basis of the following linear system. { X1 2x1 x1 3x3 4x2 x2 + x3 + 2x2 + + 3x3 + 7x4 7x4…

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Q: The set B = {4x? - 1, z -3+ 12z2, 12 – 3x 40x} is a basis for P2. Find the coordinates of p(x) = 52…

A: write each polynomial as a vector  4x2-1=x2x140-1 12x2+x-3=x2x1121-3 -40x2-3x+12=x2x1-40-312 write…

Q: Find the elgenvalues of the matrix [ 2 1 1

A: We have to find the eigen value of the given matrix.

Q: The set B = {2 – 4x?, 8+ 3x – 16x2, 21 + 9x – 40x²} is a basis for P2. Find the coordinates of p(x)…

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Q: Consider the following matrix A and its reduced row-echelon form: 5-6 103 2 12 -3-69 12-15 18 0 1 -3…

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Q: [1 2 3] 1 2 11 Use elementary row operation to find A-1, where |3 [2 3

A: The  given matrix is A=123312231 We have to find A-1. Consider the equation A=IA where I is identity…

Q: The set B = {3 + 2x², 6 − 2x + 4x², 4x − 13 – 10x²} is a basis for P₂. Find the coordinates of p(x)…

A: The objective of the question is to find the coordinates of the polynomial p(x) = 18x - 54 - 40x^2…

Q: Give bases for row(A), col(A), and null(A). 1 0 -1 - [1-4] 6 row(A) col(A) null(A) 000

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Q: EX:- Determine the Jacobian matrix for the quadratic isoparametric triangular element shown in fig.…

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Q: Determine whether b is in col(A) and whether w is in row(A). 1 1 -1 1 400-0--- b = 3 W = 5 -1 -7 2 A…

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Q: Find the change of basis matrix [B]. {0}{000) C = B = -2 -3 2 -2 -31 2 4 5 -3

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Q: O Let (e>+) is aring of complex numbers and Mz be aringof2 matrices aud g e-ɔM, desined as Follows:-…

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Q: The set B = {− (1+3x²), − (2+2x+6x²), − (6+4x+21x²)} is a basis for P2. Find the coordinates of p(x)…

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Q: The matrix [50] 02 a) Draw the transformated shape. 5+ 4 3 2 1 -5 -4 -3 -2 -1 is applied to every…

A: Given thatThe matrix  is applied to every point on the unit circle.We have to draw the transformed…

Q: c. If a matrix has more columns than rows, then the dimension of the column space is bigger than the…

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Q: [1 2 1 2 5 1 A = 3 7 2 1 2 -2 [4 9 3 -1 4] i) Find row space R(A) and column space C(A) of A. ii)…

A: Notation : R1<-  R2-R3  means Row 1 is replaced by (R2-R3).

Q: -3x + 6y - z +t - 7v = 0 x - 2y + 2z + 3t - v = 0 2x - 4y +5z + 8t - 4v =0 Find the solution space…

A: Dimension = number of linearly independent vectors in basis.

Q: Give bases for row(A), col(A), and null(A). 10 - [1-3] 6 A =

A: The given matrix, A=10-1116 We have to find bases for rowA, colA, and nullA.

Q: Give bases for row(A), col(A), and null(A). 1 0 -1 1 1 2 row(A) col(A) null(A) A = 3 LT 씀

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Q: 1. Find a basis for the solution space of the system + x4 = 0 X1 + x2 + X3 + X4 = 0. 3x1 X2

A: The detailed solution is as follows below:

Q: Question 44 Select the matrix corresponding to the quadratic form Q (21, 12, 13, 24) = -2xf + 5x –…

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Q: Discovery 4.6. Consider 1 -3 -1 A = 1 3 %3D -2 2 3 -1 -2. Compute the product AX by considering X as…

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Q: Give bases for row(A), col(A), and null(A). 4= [1 2-4 201 -1 21 32 1-2 3 3 3 row(A) col(A) null(A)…

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Q: Consider the matrix A whose RREF is the null space of A? -0 (a) (b) (1) 1 0 5 -3 01 2 0 0 0 1 0 0 1…

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Q: -4 21 1 to decode the cryptogram 3] 6.) Use A =0 14 -5 112 -140 83 19 -25 13 72 -76 61 95 -118 71 20…

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