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Question 3. [20 marks] Solve the matrix equation by taking the matrix to reduced row echelon form. Check your answer. 0 (a) 0 3 0

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Question 3. [20 marks] Solve the matrix equation by taking the matrix to reduced row echelon form. Check your answer. 0 (a) 0 3 0 0 02 (b Question 4. 20 marks Decide if the matrix equations below have no solutions, one solution, or infinitely many solutions. Write out the solution, or explain why it does not exist. (a) 0 0 1 Question 5. [20 marks Three forces are applied to an object in the three- dimensional space with Cartesian coordinates, such that the object is not moving, i.e. F1 + F2 + Fs - 0. F, Find Fs and show that F,, F2 and F's belong to one plane

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