(Left nullspace) Add the extra column b and reduce A to echelon form: 1 2 3 b₁ 1 2 3 b₁ [A b] = 4 5 6 b2 → 0-3-6 b2-4b1 789 63 0 00 b3 - 252 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 262 + b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?

What is the exact value of Cos 13л 12 ?

Simplify. Remove grouping symbols and combine like terms. 6a² - 2[4b-4b(b + 4)] 2 6a² − 2[4b-4b(b + 4)] =

If possible, write -6- 19x - 11x² as a linear combination of -1 - x - x², 1+ 2x + x² and -1 -3x - 2x². Otherwise, enter DNE in all answer blanks. (-1- x - x²)+ (1 + 2x + x²)+ -619x11x² = (-1-3x - 2x²).

Perform the operation

2. Match each set of equations with the move that turned the first equation into the second. A. 6x +9 = 4x – 3 1. Multiply both sides by 2x +9 = -3 2. Multiply both sides by -4 B. -4(5x – 7) = -18 5x -7= 4.5 3. Multiply both sides by C. 8- 10x =7+5x 4 - 10x = 3 + 5x 4. Add -4x to both sides 5. Add -4 to both sides D. * = 4 -5x %3D 5x = -16 E. 12x +4 = 20x + 24 3x +1 = 5x + 6

Simplify 6D + 5CD - 3C - 11CD + 7D   13D - 6CD - 3C   13D + 16CD - 3C   13D + 13CD   4CD

5y2 + 16y + 3 = 0

Let à = - 41 +33-5k and 6 = 5i +2j-k. Find - 2a - 3b.

Multiply. -4u²(-3u) Simplif vOUrenswer as much as possible