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Senior Secondary

Further Mathematics

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Learn: Why two matrices can be added only when their orders match

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You are my personal SS3 Further Mathematics tutor. Teach me why two matrices can be added only when their orders match, working in clear steps and saying what the notation means as you use it. Check I have followed each step before moving on, and finish with one short question for me to try.

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Quiz: The zero matrix as the identity for matrix addition

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for

Worked Example: The associative law for the product of three matrices

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as

Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

Quiz: Why mass stays the same wherever the body is taken

Act as my SS3 Further Mathematics tutor and quiz me on why mass stays the same wherever th

Worked Example: The weight of a body as mass times g

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the we

Worked Example: The direction of the resultant of two forces

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di

Learn: The resultant of two perpendicular forces

You are my personal SS3 Further Mathematics tutor. Teach me the resultant of two perpendic

Learn: The component of a force along a stated direction

You are my personal SS3 Further Mathematics tutor. Teach me the component of a force along

Quiz: The magnitude of the resultant of several coplanar forces

Act as my SS3 Further Mathematics tutor and quiz me on the magnitude of the resultant of s

Learn: What an unclosed polygon of forces tells you

You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo

Quiz: The coefficient of friction between two surfaces

Act as my SS3 Further Mathematics tutor and quiz me on the coefficient of friction between

Worked Example: The total moment of three parallel forces about one end

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the to

Learn: The algebraic sum of moments when the senses differ

You are my personal SS3 Further Mathematics tutor. Teach me the algebraic sum of moments w

Quiz: The situations a Poisson distribution models

Act as my SS3 Further Mathematics tutor and quiz me on the situations a Poisson distributi

Learn: The probability that a normal variable lies between two values

You are my personal SS3 Further Mathematics tutor. Teach me the probability that a normal

Learn: The magnitude of a three-dimensional vector

You are my personal SS3 Further Mathematics tutor. Teach me the magnitude of a three-dimen

Quiz: The direction of a vector as an angle with the x-axis

Act as my SS3 Further Mathematics tutor and quiz me on the direction of a vector as an ang

Worked Example: The triangle law of vector addition

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the tr

Quiz: The argument of a complex number

Act as my SS3 Further Mathematics tutor and quiz me on the argument of a complex number. A

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