Timur Zaripov

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Finding the value of a variable

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Dealing with expressions in online tests and in Matlab.

Exercises in multiplying matrices. 

aij  notation and definition of the order of a matrix.

Find the determinant of a $3 \times 3$ matrix.

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

This question tests students knowledge of basic matrix arithmetic.

Cofactors Determinant and inverse of a 3x3 matrix.

Multiplication of  matrices of different sizes.

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

What is the value of the expression given a choice of n?

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

Solve for $x$: $\displaystyle ax+b = cx+d$

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Multiplication of $2 \times 2$ matrices.

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

Multiplication of  matrices of different sizes.

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

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.