Fill in the missing entries by performing the indicated row operations to obtain the row-reduced matrix. -2 R1 * R2 2 -1 12 > 1 -2 -2 -2 2 -2 1 2. -1 12 R3 - R1 1 2. -2 R1 + (1/2)R3 R3 + 4R2 2. 1 1. (1/11)R3 -2 1 00 6. R1 - (1/2)R3 R2 - 2R3 0 1 0 0 0 1 -2

Find the size of the matrix 0x0 1-3 5 Cr 10-3 -3 -1 1 3 5 0-3 1 5 4 -3 3 -5 -2 -4 -3 3 0 -3

(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 [Ab] 4 5 6 bi 1 b₂ → 2 3 0-3 -6 7 8 9 b3 0 00 bi b2-4b₁ b3 - 2b2 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?

Find the matrix of the quadratic form 2x1? + 3x2² – x32 + 4x1x2 – 2 x1x3 + 6x2x3 2 2 -2 1 (a) 2 3 (b) -2 3 3 -1 3 -1 1 3 -1 2 -2 -1] [2 2 1 (d) 2 l1 -2 3 3 3 -3 [-1 3 -1. -3 -1.