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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain differentiation back to me"

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

Worked Example: What a determinant of nought means for a 2 by 2 matrix

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

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

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Worked Example: Drawing the polygon of forces to scale

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Worked Example: The moment of a force about a point on its own line of action

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Worked Example: Matching each force to the sine of the angle opposite it

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Worked Example: The distance between two points in three dimensions

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Worked Example: Finding the unit vector in the direction of a given vector

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Worked Example: The position vector of the midpoint of AB

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Worked Example: The triangle law of vector addition

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Worked Example: Testing two vectors for perpendicularity

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Worked Example: Differentiating a bracket raised to a power

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Explain pre-multiplication and post-multiplication

I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and

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Identify symmetric matrices practice

Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^

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Explain the identity matrix

Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA

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Explain the zero matrix in matrix algebra

I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Explain why a matrix with zero determinant has no inverse

I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi

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Define particle and rigid body in mechanics

Ask me to explain the difference between a particle and a rigid body in mechanics, with an

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