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Further Mathematics

AI prompts for senior secondary learners.

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1,300 prompts matching "Multiplying a surd by an integer"

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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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Explain Back: Subtracting two 3 by 3 matrices

I have just studied subtracting two 3 by 3 matrices in my SS3 Further Mathematics class. L

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WAEC Prep: The effect of a scalar on the determinant

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the effect of a sc

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WAEC Prep: The transpose of a column vector

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the transpose of a

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WAEC Prep: The transpose of a transpose

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the transpose of a

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Explain Back: The rule that the transpose of a product reverses the order

I have just studied the rule that the transpose of a product reverses the order in my SS3

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Spot My Mistake: A symmetric matrix, equal to its own transpose

Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i

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

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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

Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs

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Worked Example: A singular matrix, and why it has no inverse

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

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Explain Back: The order of the answer when two matrices are multiplied

I have just studied the order of the answer when two matrices are multiplied in my SS3 Fur

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WAEC Prep: A matrix expression with brackets to expand

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a matrix expressio

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Explain Back: Solving a matrix equation containing both a sum and a product

I have just studied solving a matrix equation containing both a sum and a product in my SS

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Quiz: Finding an unknown entry from a stated matrix equation

Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta

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WAEC Prep: The determinant of a matrix with a row of noughts

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the determinant of

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WAEC Prep: The determinant of the identity matrix

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the determinant of

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Learn: The effect on a determinant of swapping two rows

You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of

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Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

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WAEC Prep: When Cramer's rule is quicker than elimination

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through when Cramer's rule

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

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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