Vectors & Matrices TEST

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

How do you find the element in the second row, third column of a matrix?

Back

Locate the second row and then the third column to find the specific element.

Front

What is vector addition?

Back

Vector addition involves adding the corresponding components of two vectors.

Front

If vector a = (4, -5) and vector b = (-7, 4), what is a + b?

Back

a + b = (-3, -1).

Front

What is scalar multiplication of a vector?

Back

Scalar multiplication involves multiplying each component of a vector by a scalar (a real number).

Front

If w = <2, -5> and y = <2, 0>, what is 2w + y?

Back

2w + y = <6, -10>.

Front

What is the formula for subtracting two vectors?

Back

To subtract vector b from vector a, subtract the corresponding components: a - b = (a1 - b1, a2 - b2).

Front

If u = <3, 7> and v = <-5, 4>, what is 2v - 3u?

Back

2v - 3u = <-19, -13>.

Front

What does it mean for vectors to be equal?

Back

Two vectors are equal if their corresponding components are equal.

Front

What is the zero vector?

Back

The zero vector is a vector with all components equal to zero, denoted as <0, 0>.