949 prompts matching "A fractional index with a numerator above one"
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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
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
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
Learn: The distributive law for a scalar over a sum of matrices
You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca
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
Quiz: The zero matrix, and how it differs from nought in arithmetic
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix, and how it differs
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
Act as my SS3 Further Mathematics tutor and quiz me on finding an unknown entry from a sta
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
Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon
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
Act as my SS3 Further Mathematics tutor. Work a question on checking a Cramer's rule solut
Quiz: Arranging the equations in standard form before applying Cramer's rule
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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