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Further Mathematics

AI prompts for senior secondary learners.

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1,312 prompts matching "Completing the square when the roots are not real"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by

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Explain Back: What a coefficient determinant of nought says about the system

I have just studied what a coefficient determinant of nought says about the system in my S

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

Act as my SS3 Further Mathematics tutor and quiz me on arranging the equations in standard

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Explain Back: Writing out the full matrix of cofactors

I have just studied writing out the full matrix of cofactors in my SS3 Further Mathematics

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Spot My Mistake: Checking cofactors by expanding the determinant along a second row

Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin

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Explain Back: Finding the adjoint of a 2 by 2 matrix quickly

I have just studied finding the adjoint of a 2 by 2 matrix quickly in my SS3 Further Mathe

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Spot My Mistake: Finding the adjoint of a 3 by 3 matrix

Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by

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Quiz: Checking an inverse by multiplying to get the identity

Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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Explain Back: The inverse of a diagonal matrix

I have just studied the inverse of a diagonal matrix in my SS3 Further Mathematics class.

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

I have just studied solving two simultaneous equations by multiplying by the inverse in my

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Spot My Mistake: Why the inverse must be applied on the correct side

Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie

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Quiz: Solving three simultaneous equations with the inverse matrix

Act as my SS3 Further Mathematics tutor and quiz me on solving three simultaneous equation

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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

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Explain Back: The resultant of two forces acting in the same straight line

I have just studied the resultant of two forces acting in the same straight line in my SS3

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Spot My Mistake: The greatest and the least resultant of two given forces

Act as my SS3 Further Mathematics tutor. Work a question on the greatest and the least res

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