Marie Nicholson

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Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}e $ where each of $a, \;b,\;c,\;d,\;e$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \lor \neg q$

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

Linear combinations of $2 \times 2$ matrices. Three examples.

Multiplication of $2 \times 2$ matrices.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Choose which of 5 matrices are in a) row echelon form but not reduced b) reduced row echelon form c) neither.

Match the equivalence with the rule

Match the equivalence with the rule

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

One question on determining whether statements are propositions.

Four questions about truth tables for various logical expressions.

No description given

No description given

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Adding and subtracting two 3x3 matrices.

Multiplication of $2 \times 2$ matrices.

Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.

(Last three parts of original question removed.)

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Elementary Exercises in multiplying matrices. 

Add three vectors by determining their scalar components and summing them.

Linear combinations of $2 \times 2$ matrices. Three examples.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Linear combinations of $2$ dimensional vectors. 

Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

aij  notation and definition of the order of a matrix.

Linear combinations of $2 \times 2$ matrices. Three examples.

Multiplication of $2 \times 2$ matrices.

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.