1,334 prompts matching "Explain converse and inverse back to me"
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Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Find the inverse of a 3x3 matrix using cofactors #1
I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f
Find the inverse of a 3x3 matrix using cofactors #2
I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through
Find the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
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
Verify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Explain the triangle of forces method
Explain how the triangle of forces method finds a resultant, and compare it with the paral
Explain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single
Explain when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Explain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
Explain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
WAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Explain how to present working for full WAEC marks
I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i
Explain-back: resultant versus resolution of forces
I am in SS 3. Let me explain the difference between finding a resultant force and resolvin
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
Worked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Spot My Mistake: Finding the inverse of an element under a binary operation
Act as my SS3 Further Mathematics tutor. Work a question on finding the inverse of an elem