Math 4 Review

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A - B?

Back

A - B = [[1-5, 2-6], [3-7, 4-8]] = [[-4, -4], [-4, -4]]

Front

What is the logarithmic identity for log(a) + log(b)?

Back

log(a) + log(b) = log(ab) (Product Rule of Logarithms).

Front

What is the logarithmic identity for log(a) - log(b)?

Back

log(a) - log(b) = log(a/b) (Quotient Rule of Logarithms).

Front

What is the value of m(-3) if m(x) = x^2?

Back

m(-3) = (-3)^2 = 9.

Front

What is the simplified form of (a + bi) + (c + di)?

Back

(a + c) + (b + d)i.

Front

What is the formula for the sum of two complex numbers?

Back

If z1 = a + bi and z2 = c + di, then z1 + z2 = (a + c) + (b + d)i.

Front

What is the definition of a complex number?

Back

A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

What is the result of multiplying two complex numbers (a + bi)(c + di)?

Back

(a + bi)(c + di) = ac + adi + bci + bdi^2 = (ac - bd) + (ad + bc)i.