1,333 prompts matching "Laws of indices with three different bases in one line"
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Worked Example: Testing two vectors for perpendicularity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin
Practice: Deciding whether a point lies on a given line
Act as my SS3 Further Mathematics tutor. Give me five practice questions on deciding wheth
Practice: Equating real and imaginary parts to find two unknowns
Act as my SS3 Further Mathematics tutor. Give me five practice questions on equating real
Worked Example: Squaring a complex number
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Practice: Converting a complex number from polar form back to a plus bi
Act as my SS3 Further Mathematics tutor. Give me five practice questions on converting a c
Explain Back: Raising a complex number to a power by de Moivre's theorem
I have just studied raising a complex number to a power by de Moivre's theorem in my SS3 F
Explain Back: The greatest height reached by a body thrown upwards
I have just studied the greatest height reached by a body thrown upwards in my SS3 Further
Worked Example: Finding the first term and the common difference from two given terms
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Explain Back: Writing a recurring decimal as a geometric series
I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma
Scalar multiplication of a matrix #1
I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a
Scalar multiplication of a matrix #2
Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip
Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Scalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
Explain pre-multiplication and post-multiplication
I keep mixing up pre-multiplying and post-multiplying matrices. Use two 2x2 matrices A and
Evaluate a 2x2 determinant #2
I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Evaluate a 2x2 determinant #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
Evaluate a 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien
Solve simultaneous equations with Cramer's rule (order 2) #3
Use Cramer's rule to solve x + 2y = 8 and 3x - y = 3. Set up the coefficient determinant a