2 A is a rectangular arrangement of numbers in rows and columns. Matrix A below has two rows and three columns. The of matrix A are 2X3 (two by three; rows then columns). The numbers in the matrix are calledmatrixdimensionselements2 rows3 columns
3 Types of Matrices Name Description Example Row Matrix has only one row Column MatrixSquare Matrixhas only one rowhas only one columnhas same number ofrows as number ofcolumns (i.e. 2X2)
4 For two matrices of the same dimensions, the entries in the same row and same column are said to be entries.Two matrices are if and only if they have the same dimensions and all of their corresponding entries are equal.correspondingequal
5 Find the value of the variables for which the given statement is true. 1.
6 Find the value of the variables for which the given statement is true. 2.
7 If two matrices A and B have the If two matrices A and B have the dimensions, then their sum, A + B, is the matrix of the same dimensions whose entries are the sums of the entries of A and B.samecorresponding
10 Zero MatrixZero Matrix: Also called the identity matrix for addition
11 Opposite Matrix Note: , so –A is the additive of A. Opposite Matrix: Changes the sign of each element in the matrixNote: , so –A is the additive of A.When subtracting two matrices, we the of the subtracted matrix.inverseaddopposite