2. 1 b) Let A = 2. -2 -1 -5 .Determine whether the rows of A are linearly 4 4 -1 independent. Evaluate |-2A²| and [3A-1. -2 -4 4

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A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: the constants c1 and c2 such that: (3;5)=c1(1;-2)+c2(2;-3)

A: Given (3;5)=c1(1;-2)+c2(2;-3)

Q: .3 5x²+6 Jx P = (xーア (ス+1) 52+7ス+8 Jx T = J (x+2) (x²+25)

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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+…

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Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

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Q: 5V2 + 6/64

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Q: Can (4,-2,4) be written as a linear combination of (1,0,1). (3,-4.1) and (4,-6,-2)?

A: We need to see if 4,-2,4 can be written as a linear combination of 1,0,1 , 3,-4,1 and 4,-6,-2 . We…

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−6,0),  (−3,3),…

A: The given set of ordered pairs,We have to find the set of ordered pairs that represent the linear…

Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−8,9),  (−3,4),…

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Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

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Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

A:

Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.

Q: 3. Find both linear and quadratic interpolating polynomials for the points (-2,-13) , (-1,-3) ,…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.