1,334 prompts matching "Test me under exam conditions on polynomials and the remainder/factor theorems"
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Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Worked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
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
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
Spot My Mistake: Why matrix subtraction is not commutative
Act as my SS3 Further Mathematics tutor. Work a question on why matrix subtraction is not
Quiz: Solving a matrix equation of the form A plus X equals B
Act as my SS3 Further Mathematics tutor and quiz me on solving a matrix equation of the fo
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: Multiplying a matrix by minus one
Act as my SS3 Further Mathematics tutor and quiz me on multiplying a matrix by minus one.
Spot My Mistake: Orders that make a product possible one way round but not the other
Act as my SS3 Further Mathematics tutor. Work a question on orders that make a product pos
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
Spot My Mistake: A symmetric matrix, equal to its own transpose
Act as my SS3 Further Mathematics tutor. Work a question on a symmetric matrix, equal to i
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Learn: Deciding whether a stated matrix calculation is possible at all
You are my personal SS3 Further Mathematics tutor. Teach me deciding whether a stated matr
Quiz: Finding an unknown entry from a stated matrix equation
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Learn: The effect on a determinant of swapping two rows
You are my personal SS3 Further Mathematics tutor. Teach me the effect on a determinant of
Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
You are my personal SS3 Further Mathematics tutor. Teach me swapping and negating the entr
Quiz: Checking a 3 by 3 inverse by multiplication
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Spot My Mistake: Why the inverse must be applied on the correct side
Act as my SS3 Further Mathematics tutor. Work a question on why the inverse must be applie
Practice: What a singular coefficient matrix says about the equations
Act as my SS3 Further Mathematics tutor. Give me five practice questions on what a singula