What is a Matrix? (VCE SSCE General Mathematics): Flashcards

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What is a Matrix?
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Definition of a matrix

Rectangular arrangement of numbers in rows and columns

Order of matrix format

Rows ×\times columns (rows first, then columns)

Row matrix

Matrix with only one row

Column matrix

Matrix with only one column

Square matrix

Matrix with equal number of rows and columns

Diagonal matrix

Square matrix with zeros off the leading diagonal

Identity matrix (symbol and properties)

Symbol II; ones on diagonal, zeros elsewhere

Symmetric matrix

Square matrix unchanged when transposed

Transpose of a matrix

Switching rows and columns (denoted ATA^T)

Subscript notation aija_{ij} meaning

Element in row ii, column jj of matrix AA

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