1,334 prompts matching "Explain converse and inverse back to me"
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Worked Example: The powers of i, and the cycle they follow
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the po
Worked Example: The area between a curve and the x-axis
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Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
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
Solve simultaneous equations using an inverse matrix #1
I am in SS 3. Show me how to write 2x + 3y = 7 and x - y = 1 as a matrix equation, find th
Solve simultaneous equations using an inverse matrix #2
I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t
Solve simultaneous equations using an inverse matrix #3
Show me how to write 3x - 2y = 4 and x + y = 6 as a matrix equation, find the inverse of t
WAEC past-question practice: inverse matrices #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on finding the inverse of a
WAEC past-question practice: inverse matrices #2
I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac
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
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