In Exercises 47-50, write v as a linear combination of u, u,, and u, if possible. 47. u, = (2, 3, 5), u = (1, 2, 4), uz = (-2, 2, 3), v (10, 1, 4) %3D

Q: Line A passes through points (2, 4) and (-4,6). Which equation is an equation of a line parallel to…

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Q: Find the indicated vector. Let u = (-1, -1), v = (7, S). Find u + v. O (-8, -9) O (7, 6) (6, 7) O…

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Q: 9. Given the rectangular image to the right: a) find the equation of the line that slices the…

A: a) is correct x+y=2 b) is incorrect.   Please find steps below. Probability of shaded area = (Area…

Q: The point (2,5) is reflected across the x-axis. What are the coordinates of the new point? (-2,5)…

A: We have to find coordinate

Q: Seek a linear equation satisfying the condition, is it possible?   It passes through (-2,7) and…

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Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: Line 2: (-3,4) and (6,-2) (6) Line 1: (-3,2) and (3,-2)

A: Here we have to find the slope and their relation

Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: X, -2 0 2 У 3 3 3 (x,y) (-2,3) (0, 3) (2,3)

A: We are asked is this x=3 for the ordered pairs

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: Find u x v, v x u, and v x v. u = (3, -3, -1) v = (-2, –7, -5) (a) ux v

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Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.

Q: V=(2,7,10),V%=(1,2,3), Vz (1,3,5),Vz=(1,5,9)

A: Let V=aV1+bV2 +cV3 where a, b and c are constants.

Q: Given (2,11),  (4,18),  (10,28), what is the intercept? The data are given as (x,y).

A: The formula of intercept is,

Q: Write [0, 5, 1, -7,0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: Now, let us consider a relation (0,5,1,-7,0)=c1(0,1,2,0,0)+c2(0,1,0,0,0)+c3(0,1,0,0,1)+c4(0,3,0,2,1)…

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.