1,334 prompts matching "Sum and product of roots of a cubic exam question"
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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
Spot My Mistake: Squaring a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Work a question on squaring a 2 by 2 matrix with
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
Spot My Mistake: Multiplying a 3 by 3 matrix by a 3 by 1 column
Act as my SS3 Further Mathematics tutor. Work a question on multiplying a 3 by 3 matrix by
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: 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
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Quiz: Finding an unknown entry from a stated matrix equation
Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta
Spot My Mistake: Forming the determinant Dx by replacing the first column
Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by
Learn: Solving two simultaneous equations by Cramer's rule
You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat
Spot My Mistake: Checking a Cramer's rule solution by substituting back
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Quiz: Checking an inverse by multiplying to get the identity
Act as my SS3 Further Mathematics tutor and quiz me on checking an inverse by multiplying
Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m
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