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Further Mathematics

AI prompts for senior secondary learners.

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1,288 prompts matching "WAEC exam question: symmetric functions of roots"

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

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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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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

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte

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

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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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Practice: Turning a minor into a cofactor with the sign rule

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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

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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

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

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Learn: The order of the steps in inverting a 3 by 3 matrix

You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve

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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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Practice: The parallelogram law of forces

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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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Learn: The resultant of two perpendicular forces

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

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

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