Using MATLAB

1. Solve the following system of linear equations -4x +3y+z-18 5x + 12y-2z30 Q2. Given the following matrix: A-1-3 10-2 3 -9 1 Define A in MATLAB and perform the following operations. Show the result and explain it. a. A A d. det(A) e. inv(A) Q3. Define A, B, and C in MATLAB and perform the operations: 0 -2 1 1 -3 !5 -2 0 6 a. Calculate A+B and B+A to show that addition of matrices is commutative. b. Calculate A+(B+C) and (A+B)+C to show that addition of matrices is associative. c. Calculate 3(A+C) and 3A3C to show that, when matrices are multiplied by a scalar, the multiplication is distributive. d. Calculate A (B+C) and A B+A C to show that matrix multiplication is distributive e. Calculate A B and B*A. Are they the same? Why? x2-5x-12 04. Plot the function f(x) in the domain-1Sx s7 Q5. Given v [4,-1,2,7,1,-2,2,0] and u - [5,-1,0,3,-3,18,1,-5]. Evaluate the following expressions b, u== abs(v)