17.) show that I is lineal transformation by finding a matrix that implemnts mupping. Note X₁, X₂-... not vectors but are entries in vectors (x₁₁ x 2₁ x3) = (x ₂ ) - 9x2 + 3x31x2-7x₂) the. cire. A = [2] (integer or decimal)

Q: Do only question 6

A: Evaluate fx​(3,1)Evaluate fy​(3,1)Find the derivative of f(x,y) with respect to x, treating y as a…

Q: 6. Determine if the vectors vị = (1, -1,3, –1), v2 = (1, –1, 4, 2), v3 = (1, -1,5, 7) dependent or…

A: We have to find that given vectors are linearly dependent  or linearly independent.

Q: Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6)…

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns…

Q: Find a non-zero vector that is orthogonal to (-7,6,5).   Separate your entries by commas, and…

A:

Q: Write N(A) as the span of a vector (r vectors). What is dimN(A)? Why?

A: Null space, N(A) is the set of all vectors x in R^4 here, which are solutions of the equation Ax=0,…

Q: (a) Show that the vectors v1 = (1, 2, 3, 4), v2 = (0, 1, 0, – 1), and v3 = (1, 3, 3, 3), form a…

A: (a) The given vectors are: v1=(1,2,3,4), v2=(0,1,0,-1), v3=(1,3,3,3)

Q: Determine a vector that is perpendicular to (2,-5,-1) and (4,0,1).

A: The problem is asking us to find a vector that is perpendicular to two given vectors. In vector…

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: Let v = (7,8). Suppose w E R2 is perpendicular to v, and that ||w|| = 9. Find both possible vectors…

A:

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A:

Q: If possible express the vector v as a linear combination of V1, V2, and V3.

A: If possible let pv1 + qv2 + rv3 = vp(3, -1, 2) + q(-2, 1, -1) + r(3, -2, 1) = (0, 0, 0)

Q: Let vị = (3,2,-2) and v2 (2,–1,–1). Which of the following vectors are in span{v1,v2}? (i) (1,3,0)…

A: A vector u is said to be in span{v1, v2} we can can find some real values a and b such that we can…