Exponential of square matrix, geometry.

[STEP III 1998 Question 5 (Pure)]

Matrix product, determinant, complex numbers, sum of squares.

[STEP III 1994 Question 8 (Pure)]

System of equations, unique solution, inverse.

[STEP III 1993 Question 3 (Pure)]

Diagonal matrix, transformation, change of basis.

[STEP II 1993 Question 10 (Pure)]

Proofs and counterexamples, determinant, quadratic, matrix multiplication, linear algebra.

[STEP II 1993 Question 6 (Pure)]

Proof by induction, matrix multiplication.

[STEP III 1992 Question 2 (Pure)]

Determinants, Cayley-Hamilton theorem, necessary and sufficient, counterexamples.

[STEP II 1990 Question 10 (Pure)]

Matrix power, series, exponential, differential equation, system, integrating factor.

[STEP II 1989 Question 9 (Pure)]

Square matrix, non-singular, unit, zero matrix, if and only if.

[STEP II 1987 Question 9 (Pure)]