751 prompts matching "Create a revision plan for vectors"
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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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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
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
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
Practice: The transpose of a 2 by 3 matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the transpose
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
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
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
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
Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut
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
Spot My Mistake: Checking cofactors by expanding the determinant along a second row
Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin
Spot My Mistake: Finding the adjoint of a 3 by 3 matrix
Act as my SS3 Further Mathematics tutor. Work a question on finding the adjoint of a 3 by
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
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
Learn: The order of the steps in inverting a 3 by 3 matrix
You are my personal SS3 Further Mathematics tutor. Teach me the order of the steps in inve