Given 7 - -6 -8 -8 find the closest point to in the subspace W spanned by 5 -6 -2 and -6 3 3 -54

Q: Find the LU-factorization of A = 2 1 -4 3 3 6 8-3

A: Given :A=21-1-43368-3

Q: Multiply. [x-(3+6:)][x-(3-6i)] Note that these expressions contain complex numbers. Simplify your…

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Q: Simulate the product algorithm for polynomials p and q where p( x ) = 2x³ - 3x² + 9x + 11 and q( x )…

A: Here two polynomials are given p(x) and q(x), we have to perform multiplication of the given…

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center:…

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Q: State the Remainder Theorem.

A: Statement: If f(x) is divided by (x-a) then the remainder will be f(a).

Q: Factor out the greatest common factor from the polynomial. 2(p+q) + 6k(p+q)

A: Given 2(p+q)+6k(p+q)

Q: IsP2 spanned by 1 + x, x + x2,1 + x2?

A: To Show: Is P2 spanned by 1+x,  x+x2, 1+x2 ? Concept: Let V be a vector space and let S=v1, v2, v3,…

Q: [-1 -1 21 Let A = = [23] 3 7 Write b as a linear combinations of the columns of A b= a₁t and b a2

A: Given,                A=-12-37, and b=-7-23. To write b as a linear combination of the columns of A.

Q: Write x^3+x^2-2 as a product of linear factors in Z_3

A: Step 1: Step 2: Step 3: Step 4:

Q: What are free columns?

A: A matrix is a rectangular array containing the set of numbers arranged in rows and columns. A matrix…

Q: Let 13 −4 21. 1 -4 -1 Using a sequence of elementary row operations, transform A into reduced row…

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Q: Polynomial P(x)=9x100-5x7-2x2-4 is divided by (x+1). Find the remainder.

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Q: Determine the polynomial function of least degree whose graph passes through the given points.

A: The points (2,6), (3,9) and (5,15) Determine the polynomial function of least degree whose graph…

Q: (3m ^ 5 + m - 1) / (m + 1) divide polynomials using synthetic division

A: We have to Divide the polynomial using synthetic division   Given polynomial (3m5+m-1)/(m+1)

Q: actor each polynomial. 1. x2 2-14x + 49 2. x2 +2x + 1 3. x2 +7x + 14 (x-1) x2+ 18x + 81 5. y2-20y+…

A: Consider the polynomial x2 + 7x + 14 The above polynomial could not factor further since it has no…

Q: ans 1. %3 4x+ 2 9x-3°

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: If (2x-1) is a factor of the polynomial p(x)=2x^3-3x^2+kx+6, then the value of k is: a) k= -6 b)…

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Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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Q: (8p^3-38p^2-17p+43)÷(p-5) * 8p2+2p-7, R 8 8p2+p-9, R 9 O 8p2+p-5, R 13 O 8p2+p-10, R 4 O O O O

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: If the nulI snace of a 30x17 matrix is 13-dimensional, find the rank of the matrix.

A: We have been given the matrix which is of 30 x 17 i.e it has 30 rows and 17 columns. And it is also…

Q: 7b + 8b^2​2​​ + 3 + y + 2b + 2y + 2 =   A 17b^2​2​​ + 3y + 5 B 8b^2​2​​ + 9bb + 5y C 8b^2​2​​ +…

A: Topic = Algebra Correct option = D

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

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Q: Then y'(0) 1- 1 2

A: Here we use Newton's Forward Difference Method :

Q: Choose the polynomial that is written in standard form. A7x + 8x8+2 7x -3x¹y + 2x²y² + 5y³ 10xy +…

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Q: 4. -9x+20 differnce of Squares ACTOR BY GI

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Q: Find iterpolation polynomial p2(x) = ax² + bx + c that passess through the points: (0,7), (1,12),…

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Q: What is the sum of the polynomials? (8x² - 9y² -4x] + (x²_3y² - 7x) 2-3y2-7x 8x -9y2 -4x +

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Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

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Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c), (b,d),(b,e),(d,

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Q: Use the

A: we have; 3x1-2x2+4x3=213x1+4x2-2x3=92x1-x2-x3=10

Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.