- matrix
- A matrix is an array of numbers, usually written inside curved brackets.
Ch 01- elements
- The entries in the various cells of a matrix are known as elements.
Ch 01- order
- The order of a matrix is stated by the number of rows first, then the number of columns.
Ch 01- square matrices
- Matrices that have the same number of rows as columns are called square matrices.
Ch 01- identity matrix
- An identity matrix is a square matrix with 1s on the leading diagonal and zeros elsewhere, usually denoted by I.
Ch 01- unit matrix
- The unit matrix is another name for the identity matrix.
Ch 01- zero matrix
- A zero matrix is a matrix where all elements are zero, usually denoted by O.
Ch 01- equal matrices
- Two matrices are said to be equal if, and only if, they have the same order and each element in one matrix is equal to the corresponding element in the other matrix.
Ch 01- non-conformable for addition
- Matrices are non-conformable for addition if they are not of the same order.
Ch 01- scalar number
- A scalar number is a single number by which a matrix can be multiplied.
Ch 01- conformable for multiplication
- Two matrices are conformable for multiplication if the number of columns in the first matrix equals the number of rows in the second matrix.
Ch 01- object
- The original point, or shape, before a transformation is called the object.
Ch 01- image
- The new point, or shape, after the transformation, is called the image.
Ch 01- transformation
- A transformation is a mapping of an object onto its image.
Ch 01- unit vectors
- Vectors that have length or magnitude of 1 are called unit vectors.
Ch 01- shear
- A shear is a transformation where points on a fixed line stay the same, and other points move parallel to the fixed line by a distance proportional to their perpendicular distance from the fixed line.
Ch 01- linear transformations
- In a linear transformation, straight lines are mapped to straight lines, and the origin is mapped to itself.
Ch 01- invariant points
- Points that map to themselves under a transformation are called invariant points.
Ch 01- invariant line
- A line AB is known as an invariant line under a transformation if the image of every point on AB is also on AB.
Ch 01
