1,332 prompts matching "Combining several index laws in one simplification"
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Structured question: surd equation with a solution to reject
I am in SS 3. Give me a structured surd equation question where squaring both sides introd
Learn: Why two matrices can be added only when their orders match
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
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Spot My Mistake: Why matrix subtraction is not commutative
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Worked Example: The associative law for the product of three matrices
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Learn: The distributive law for a scalar over a sum of matrices
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Spot My Mistake: A symmetric matrix, equal to its own transpose
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Worked Example: The units of mass, and the SI unit
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Quiz: Why mass stays the same wherever the body is taken
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Worked Example: The weight of a body as mass times g
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Worked Example: The direction of the resultant of two forces
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Learn: The resultant of two perpendicular forces
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Spot My Mistake: The greatest and the least resultant of two given forces
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Learn: A space diagram and a force diagram drawn side by side
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Learn: What an unclosed polygon of forces tells you
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Quiz: The coefficient of friction between two surfaces
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Spot My Mistake: Why friction does not depend on the area of contact
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Learn: The algebraic sum of moments when the senses differ
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Spot My Mistake: When Lami's theorem may be used, and when it may not
Act as my SS3 Further Mathematics tutor. Work a question on when Lami's theorem may be use
Learn: The expectation of a discrete random variable
You are my personal SS3 Further Mathematics tutor. Teach me the expectation of a discrete