1,179 prompts matching "Practice: A binary operation set out as a table"
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Structured question: identify a tautology using a truth table
I am in SS 3. Set me a structured question where I build a truth table for a compound stat
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Show that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
Give me a past-paper style question bank for propositional logic
I am in SS 3. Give me a bank of four exam-style questions on propositions, truth tables an
Worked example: expand (2-x)^5 using Pascal's triangle
I am in SS 3. Show me a full worked example expanding (2-x)^5 using Pascal's triangle, lay
Structured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Structured question: find k so a cubic has a repeated root
I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must
Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Worked Example: The associative law for the product of three matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as
Quiz: Solving AX equals B and XA equals B by different routes
Act as my SS3 Further Mathematics tutor and quiz me on solving AX equals B and XA equals B
Practice: The transpose of a 2 by 3 matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
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
Practice: The condition on the orders for a product to exist
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
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
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
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
Practice: Turning a minor into a cofactor with the sign rule
Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino