please I need help in solving this problems

-15 29 2 34) 24 -33 21 27 The matrix M = 56 47 15 is referred to in some of the problems below. -42 28 -11 56 1. The matrix M is the augmented matrix for a linear system. Give the (2,3) entry in the coefficient matrix for the system. 2. The matrix M is the augmented matrix for a linear system. Give the number of equations in the system. 3. The matrix M is the augmented matrix for a linear system. Give the number of unknowns in the system. 4. Apply the elementary row operation -2R2 + Ry -> Ry to the matrix M. What is the (3,3) entry in the resulting matrix? 5. Apply the elementary row operation R, R, to the matrix M. What is the (3,4) entry in the resulting matrix? 6. Apply the elementary row operation -2R, -> R, to the matrix M. What is the (3,4) entry in the resulting matrix? 7. Give the (1,3) entry in the reduced row echelon form of the matrix -20 3 2 37 8. Give the value of y associated with the solution to the system x+y-3z=-7 3x+4y-z=2 *+3y+2z =1 x+ y-2z=-1 9. Find the value of h that causes the system | 2xthy - z = 3 to be inconsistent. (x+3y+2z =1 10. Find a 2"d degree interpolating polynomial p (x) for the points (-1,2), (1,3), (3,-1). Then give the value for p (4). Note: For help, see my solution to problem 33 in section 1.2. Also, see the lecture notes and video. 1 1. Let 1 = 1 . v=|3 and z- 4 . where h is a scalar. Give a value for h so that is a linear combination of u and v