{a} = C1 %3D {a, b} = C2 {a, b, c} = C3 %3D {a, b, c, d} = C4 where 4 a = b =| 2 c = -1 d =| ? ? Among C1, C2, C3, which are linearly independent? What vector would you make d be so that C4 is linearly dependent?

Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: Given r = (5, 2, 3) and s = (-4, -2, 2) and t = (3, 4, 1) %3D a. Write the unit vector for S b.…

A: This question can be solved using the concept of unit vector and linear combination of vectors.

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

A:

Q: refer  to  image  below.

A: Lineraly dependentv3={-1/3} v1 +{1/3} v2Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Show that vectors (86, 87, –46), (-8, –6, –2), and (-6, –7, 6) are linearly dependent-that is, there…

A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

Q: Let Are the vectors 7₁, 72 and 3 linearly dependent or linearly independent? linearly dependent [8]…

A:

Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

A:

Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

A:

Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

A:

Q: 3. Determine if the vectors work. -2 are linearly independent. Show all 0 1

A: Step 1:The given vectors are: ⎣⎢⎡​1−23​⎦⎥⎤​,⎣⎢⎡​111​⎦⎥⎤​ and ⎣⎢⎡​0−11​⎦⎥⎤​ To determine whether the…

Q: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

A: