1,044 prompts matching "What Cramer's rule gives when the system is inconsistent"
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Give me practice identifying compound propositions
Act as my SS2 Further Maths tutor. Give me eight sentences and ask me to classify each as
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti
Teach me the truth table of p implies q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea
Teach me the truth table of p if and only if q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,
Quiz me on the testing two statements for logical equivalence
Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical
Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Give me practice on converse and inverse propositions
Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Give me practice testing argument validity
Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi