Problem 16. Let (a) Find a basis for Row(A). (b) Find a basis for Col(A). A = -1 1 -3 4 -2 4 1 1 -3 -2 -4 -200
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- Question 16: Classify the definiteness of the quadratic form associtated to the given matrix:Find a basis for and the dimension of the null space of the given matrix. (problem 32 on picture)a) Use row ops to find an echelon form of: A = 1 2 2 -2 2 2 4 1 -2 5 1 2 -1 0 3 b) Use the echelon matrix found above to find a basis for RS(A), NS(A), and CS(A). Give a brief reason for your choice. Without a justification, you might just have a lucky guess and I will not accept this. Your justification can be short and use facts from the text or from the notes that I have provided. c) Show that skew-symmetric 3×3 matrices form as subspace of all 3×3 matrices and find a basis for this subspace.