1,334 prompts matching "Explain permutations and combinations back to me"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Identify symmetric matrices practice
Give me three different 3x3 matrices and ask me to test each one for symmetry using A = A^
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Explain the rule of signs for determinants
Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Explain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Explain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Explain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Explain finding area under a curve using integration
I am in SS 3. Explain how definite integration gives the area under a curve between two li
Worked Example: Simplifying an expression carrying both a negative and a fractional index
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli
Worked Example: The identities for one plus tan squared and one plus cot squared
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the id
Worked Example: Solving cos x equals a negative value, and finding both solutions
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin
Worked Example: The shape, period and range of the cosine curve
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the sh
Worked Example: The equation of a circle with a given centre and radius
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the eq
Worked Example: The amplitude, period and frequency of a simple harmonic motion
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the am
Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Write a short answer on negating the leading diag
Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant
Act as my SS3 Further Mathematics tutor. Write a short answer on adding the magnitudes of