Find the bases of the rowspace and columnspace of the matrix . What is the rank of x? x=(1, -3, 4, -2 ;  2, -6 ,9 ,-1 ; 2, -6 , 9, -1)

Find the matrix of the quadratic form. Assume x is in R³. a. 2x² + 3x²2 - 9x²3 - 10x₁x×2 + 18x₁×3 − 12×2×3 b. 2x1x2 + 12x₁X3 - 18x2x3 a. The matrix of the quadratic form 2x² + 3x2 -9x3 - 10x₁x2 + 18x₁ x3 - 12x₂x3 is (Simplify your answer.) Part 1 of 2

Use row operations to change the matrix to reduced form. 1 1 1 16 3 4 5 23 1 1 1 16 3 4 5 23

Perform the row operation indicated beside the matrix. 0 2 -3 5 2 -1 -3 R₁ R3 2-1 0 1 Upload a picture/scan of your solution. You must show all work and use correct notation in order to receive full credit. Please be sure that your solution is legible. When uploading an image, be sure to follow the guidelines for Uploading Images in Math 123.