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Matrices Vocabulary

Across
A ______ matrix is a matrix with the same number of rows and columns.
A real number in a special product, such as 3 in the matrix product 3A
The ___________ of a square matrix is a real number that can be computed from its elements according to a specific formula.
Closely examine objects, ideas, or relationships to learn more about their nature
For an n x m matrix, the multiplicative ________ matrix is an n x m matrix I, or In, with 1's along the main diagonal and 0's elsewhere
Scalar ______________: An operation that multiplies a matrix A by a scalar c. To find the resulting matrix cA, multiply each element of A by c.
A ________ matrix is a matrix whose entries are constant.
When representing a system of equations with a matrix equation, the matrix containing the coefficients of the system is the ___________ matrix.
The ____ matrix O, or Omxn, is the m x n matrix where elements are all zeros
Down
If A and B are square matrices and AB = BA = I, then B is the multiplicative _______ of A, written A^-1.
When representing a system of equations with a matrix equation, the matrix containing the variables of the system is the ________ matrix.
_____ sense: the understanding of what numbers mean and how they are related
_____ matrices have the same dimensions and have corresponding elements
______________elements are elements in the same position in each matrix
Use knowledge or information for a specific purpose, such as solving a problem
An ________ in which the variable is a matrix
A ________ matrix is a square matrix with no inverse. Its determinant is zero.