[61] Diagonalize B = (by finding P and D) or explain why B isn't diagonalizable.

How would I find the basis and range rank for this linear algebra question?

• A is in RREF ● -689 Let A Fill in the blanks such that A has all of the following properties. row(A) is the xz-plane. null(A) is the y-axis. It follows that im(A) is the

Find the cross product a × b. = (t, t², t³), a b = (1, 4t, 9t²)

Consider below presented polynomials v1, v2, v3, v4in P2. v1 = 2t2 + t + 2 v2 =t2 - 2t v3 =5t2 – 5t + 2 v4 =-t2 - 3t – 2 Determine whether the vector v = t2 + t + 2 belong to span {v1, v2, v3, v4}or not.

4 VI V2 = 3 V3 = V4 Write w as a linear combination of v ,..., V4 in two different ways. Don't leave any fields blank. Use the coefficient O if you don't need one of the vectors. First answer: w = V + V2 + V3 Second answer: %3= VI + V2 + V3 + V4 .

Let A = [1 -1 -1              -1   1 -1              -1  -1  1]. Find a diagonalization if possible.

While trying to invert A, [A I] is carried to [P Q] by row operations. Show that P=QA.

Determine whether 2 4 are linearly independent.

Can you help me understand this? This is in terms of Linear Algebra