The 5th question please, do I need to calculate the inverse matrix for that question ?
Consider the system 2x_1 + 3x_2 + x_3 + 4x_4 - 9x_5 = 17 x_1 + x_2 + x_3 + x_4 - 3x_5 = 6 x_1 + x_2 + x_3 + 2x_4 - 5x_5 = 8 2x_1 + 2x_2 + 2x_3 + 3x_4 - 8x_5 = 14 Solve the system and if it has solutions, what does the solution set represent geometrically? Let the reduced row echelon form of A be [1 0 2 0 -2 0 1 -5 0 -3 0 0 0 1 6]. Determine A if the first, second, and fourth columns of A are [1 -1 3], [0 -1 1], and [1 -2 0]. Consider the following system x + y + z = 3 x + 2y + z =5 x + y + (a^2 - 4)z = a i. For which values of a does the system have a unique solution? ii. For which values of a does the system have infinitely many solutions?
