Question: Please solve this question with explaination . Please show every steps (a) Find the rank and nullity of the following system of linear equations: *

Please solve this question with explaination . Please show every steps

(a) Find the rank and nullity of the following system of linear equations: * +2x2 - X3 +4x, =0 2x - X, +3x, + 3x, =0 4x, + x, +3x, +9x, =0 X2 - * +x =0 2.x, + 3x, - X3 + 7x, =0 (b) State Dimension Theorem for Matrices. Find the rank and nullity of the following matrix A: A= hasON NWNOH NONON

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