Properties
This refers to the number of rows and columns in a matrix
What is the order of a matrix?
Code Geass and this matrix focus on this number
What is the zero matrix?
Just like in regular arithmetic operations, order does not affect the result when performing this operation on matrices
What is addition?
The difference of the products of elements on the leading and non-leading diagonals
What is the determinant?
Multiplying a matrix by its inverse gives me this as the result
What is the identity matrix?
Not to be confused with 4-sided polygons, the shape of a matrix is generally ______________
What is rectangular?
You and I have this in common and only square matrices have this
What is the identity matrix?
This operation is very particular about the order as this can take away from the accuracy of the final result
What is subtraction?
The magnitude of this constant is computed but we call it by a word similar to the name of an instrument we use to weigh objects
What is a scalar?
This matrix is obtained by switching the elements on the leading diagonal and taking the negative of the elements on the non-leading diagonal
What is adjoint (adjugate) matrix?
A matrix with m rows and n columns
What is a m x n matrix?
This matrix has elements only on its principal diagonal
What is the diagonal matrix?
This property is observed in addition of matrices but not in other operations
What is the commutative property?
A value of zero says it must be a __________ matrix
What is singular?
Multiply it on the right or on the left, the result is still I. Why?
What is the commutative property of inverse matrices?
This matrix has the same number of rows as columns
What is the square matrix?
This diagonal matrix has elements which all have a common factor
What is a scalar matrix?
Row by column is how we go... the process for which operation... do you know?
What is matrix multiplication?
With a non-zero value this matrix must be invertible. this means it's a ____________ matrix!
What is non-singular?
Don't forget to flip this before multiplying it with the adjugate matrix
What is the determinant?
A subset of the rectangular matrices which primarily consists of multiple rows and 1 column
What are vectors(column matrices)?
These matrices depend on a scalar value derived from its elements
What are singular/non-singular matrices?
The number of columns in the first is equal to the number of rows in the second. What are we checking for?
What are conformable matrices?
The determinant of a singular matrix is 3x - 15. The value of which satisifies this is
What is x=5?
Have you ever wondered why we only mentioned 3 arithmetic operations? Not a trick, the inverse matrix is as a result of attempting to perform this arithmetic operation
What is division?