Problem Set 7 — Matrices

Questions 1–18 from the chapter. Show your working on the augmented-matrix problems; the answer alone will not get the marks.

Questions 1 to 9 are drill: multiply, transpose, and find the determinant. Do them quickly and check yourself against the answers at the back. Questions 10 to 18 are the ones that matter, and every one of them wants to see the row operations you used.

If a system has no solution, say so and point at the row that proves it. Half the marks on this set are for the argument, not the arithmetic.