The coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (0, 4, 3) } are: Select one: O a. (1, -1, 0) O b. (0.22, 3, 0.52) O c. (0.88, 3, 0.16) d. (2, -2, 1)

Q: Find two vectors v1 and v2 whose sum is (-5, –5, 5), where vi is parallel to a =(0, –1, –2) while v2…

A:

Q: Problem 5. Show that Suppose that A € Rmxk and B € Rkxn. Let B₂] ER(m+k)x(k+n) YA [Ik A 0mxn rank(Y)…

A: Given that A∈ℝm×k and B∈ℝk×n. Now define: Y≜IkBA0m×n∈ℝm+k×k+n. We need to show that…

Q: The vector v= (6,-4, 0) starts at the point P = (-2,5, -1). At what point does the vector end?…

A:

Q: The vector component of A = 62 + 3ŷ + 32 along B=-22 +79 + 42 is: O a. 0.61âx+-213ây+-1.65âz O b.…

A:

Q: Write v as the sum of two vector components if v = i +3j and w = 2i+j. O v = (-2i+2j) + (i +j) Ov=…

A:

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: Express the vector from P(-1, -4, 6) to Q(1, 3, -6) as a position vector in terms of i, j, and k.

A: Given vectors are P-1,-4,6 and Q1,3,-6.

Q: Find each vector sum u + v. a. u = (1, 4), v = (2, −2) b. u = (3, −2), v = (−3, 2) c. u = (2, 1), v…

A: a). b).

Q: = (2, -1) and v= (-2,3). Sketch u and v. Then sketch (show how the vectors are adding up) and…

A: Given, u=2,-1,v=-2,3

Q: Find the B-coordinate vector fe

A: First multiply some constant with given coordinator polynomial and equal the vector p(t) and find…

Q: Find a vector perpendicular to (2, −1, 10) and (1, 2, −1)

A:

Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

A:

Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: Either find the coordinates of the vector relative to basis B, or find the original vector from the…

A:

Q: Find the coordinate vector of v relative to the basis S = {v1, V2, V3 } for R3. v = (41, 39, 21); v1…

A:

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.