The vectors 3 -1 1 i = -3 11 10 + k are linearly independent if and only if k +|

Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

A:

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: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

A:

Q: Compute the third row of the product (if it exists) by summing an appropriate linear combination of…

A: To Find : Third row of the Product of given matrices.

Q: 3 4 4 Are the vectors -2 -2 and -16 | linearly independent? 3 -3 -24 linearly independent If they…

A:

Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

A:

Q: ether the set of vectors in P2 is linearly independent o {2 – x - 4x2, 3+ 6x + 2x?, 2+ 10x – 4x?} ||

A:

Q: Find the stable vector of 7 P = 2/7 M5 iii

A:

Q: Find the value of k for which the vectors 2 1 2 and -3 5 k are orthogonal. k =

A:

Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

Q: 1. Write the vector 1 16 as a linear combination of the vectors 1 2 and 2 1

A: Let the given vectors be:w=-7116, u=-112, v=21-5. To Do: We have to write the vector w=-7116 as a…

Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

A:

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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:

Q: V2 3 V3 Write w as a linear combination of v,., V4 in two different ways. Don't leave any fields…

A: