Question

Asked Sep 28, 2019

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Please, help me with a step by step solutions to this problem and I will be very grateful to you. I don't have a strong background in algebra. I hope you will help.

Step 1

Since we only answer up to first question, we’ll answer the first 1. Please resubmit the question and specify the other squestions (up to 1) you’d like answered.

1.A is the matrix of order *n*k* and tr(A). A is the matrix of order *k*k.*

Null space of matrix A is defined as {*x *: *x* belongs to R(n-tuple) and *Ax*=0}

Such that N(A)= {*x* : *x* belongs to R(n-tuple) and *Ax*=0}

Consider any *x* which belongs to null apace of A. Then

Step 2

Now, consider any *x* which belongs to null space of tr(A). A, then

Step 3

By equations (1) and (2) it is clear that null space A and n...

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