1,330 prompts matching "Solving an indicial equation where one side must be factorised first"
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Practice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Practice: Differentiating x squared from first principles
Act as my SS3 Further Mathematics tutor. Give me five practice questions on differentiatin
Practice: A body thrown vertically upwards
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown
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
Practice: The conservation of momentum in a collision
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati
Explain Back: The sum of the first n terms of a geometric progression
I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt
Practice: The sum to infinity of a convergent geometric series
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf
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
Practice: The middle term when the power is odd
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter
Explain Back: Partial fractions with a repeated linear factor
I have just studied partial fractions with a repeated linear factor in my SS3 Further Math
Practice: Finding a remainder without carrying out the division
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema
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 #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
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]],
Why is matrix multiplication not commutative
Explain in simple terms why AB is not usually equal to BA for matrices, using a worked 2x2
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
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m