726 prompts matching "Index notation for a nested root"
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Structured question: binomial expansion coefficient equation
I am in SS 3. Set me a structured binomial theorem question where I am told two coefficien
Structured question: stating the domain of the inverse of a fractional function
You are my SS3 Further Mathematics tutor. Teach me stating the domain of the inverse of a
Structured question: solving a trig equation involving a double angle
I am in SS 3. Give me a structured trigonometric equation question involving sin(2x) or co
Structured question: curve sketching using stationary points
I am in SS 3. Give me a structured question where I find the stationary points of a cubic
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: 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
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
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
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
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
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
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
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