1,045 prompts matching "How long the inverse of a 3 by 3 matrix takes, and how to shorten it"
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Teach me logically equivalent propositions
Act as my SS2 Further Maths tutor. Teach me how to determine whether two compound proposit
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
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
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number
Teach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Explain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Worked example: finding a term in an arithmetic progression
Act as my SS2 Further Maths tutor. Show me a full worked example of finding a specific ter
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Worked example: plotting a complex number on an Argand diagram
Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num
Give me practice on matrices
Act as my SS2 Further Maths tutor. Give me six practice questions on matrix operations, de
Teach me adding and subtracting vectors
Act as my SS2 Further Maths tutor. Teach me how to add and subtract vectors given in colum