Find all solutions of the following linear system, using the Gauss-Jordan method. Please ndicate all of the row operations that you do in each step. For example, you could write, “R1 → R1 + (-3)R2." Show your work. 2x1 4.x2 + 12x3 3x3 + 9x3 10x4 2x4 6x4 58 - -x1 + 2x2 2x1 = -14 4.x2 + 44

Q: F. Prove the following: (10 pts each) 1.

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A: a). b).

Q: Find the rank(A) and null(A). 1 -3 -1 9 . -6 -1 4 -2 -10 -3 9. -6 -6 -3 3 -9 4 9 a) 1; 4 b) 2; 3 c)…

A: Rank(A) and Nullity (A)

Q: da

A: Given integral is, ∫-40(4.4x2-1)dx=∫-404.4x2dx-∫-401dx=4.4[x33]-40-[x]-40…

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Q: 2. Find u, 3v, v - u, and 2u + 5v. u = (4, 3), v = (3, -7) (a) u 券 (b) 3v (c) v - u (d) 2u + 5v

A: Please find the solution below:

Q: (d) V (V. u) (e) V. (V xu) where p = x²x2x3 + x² and u = x1x2x3е₁ + x1x²ẹ₂ + x²x3 €3

A: According to our guidelines as you mention part d and e, so we solve d and e part for you.