Further Mathematics

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📅 36-Week WAEC Study Guide for Further Mathematics →

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Year group:All years SS 1 SS 2 SS 3

Year 12 key words:binomial expansion complex numbers determinants and inverses dynamics functions matrices moments and rigid bodies past questions probability probability distributions quadratic equations statics and equilibrium

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structured questions vectors

1,319 prompts matching "IGCSE Additional Maths Y10: The range of a function — Quiz Me"

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

PPJ-FMT-01105 Similar prompts

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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

PPJ-FMT-01106 Similar prompts

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

Further Mathematics

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

Quiz: The zero matrix as the identity for matrix addition

WAEC Prep: Subtracting one 2 by 2 matrix from another

WAEC Prep: Raising a 2 by 2 matrix to the third power

WAEC Prep: Multiplying a 3 by 3 matrix by the identity matrix

WAEC Prep: The difference between pre-multiplying and post-multiplying by a matrix

Spot My Mistake: Orders that make a product possible one way round but not the other

WAEC Prep: The identity matrix, and what it does in a product

Quiz: The zero matrix, and how it differs from nought in arithmetic

Learn: Deciding whether a stated matrix calculation is possible at all

WAEC Prep: Expanding a 3 by 3 determinant along the first row

WAEC Prep: Setting out the coefficient determinant for two simultaneous equations

Spot My Mistake: Forming the determinant Dx by replacing the first column

Worked Example: Forming the determinant Dy by replacing the second column

WAEC Prep: What Cramer's rule gives when the system is inconsistent

Quiz: Arranging the equations in standard form before applying Cramer's rule

Worked Example: The identity that A times its adjoint gives the determinant times the identity

Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

Quiz: Checking an inverse by multiplying to get the identity

WAEC Prep: Checking the determinant before attempting a 3 by 3 inverse