matrix_1x1:
the 1 by 1 matrix with entry 3;
the 1 by 1 matrix with entry 3;
determinant_1x1:
the 1 by 1 determinant with entry 3;
the 1 by 1 determinant with entry 3;
matrix_1x2:
the 1 by 2 row matrix; 3, 5;
the 1 by 2 row matrix; 3, 5;
matrix_1x3:
the 1 by 3 row matrix; negative x, 5, 12;
the 1 by 3 row matrix; negative x, 5, 12;
matrix_2x1_not_simple:
the 2 by 1 column matrix; row 1; x plus 1; row 2; x minus 1;
the 2 by 1 column matrix; row 1; x plus 1; row 2; x minus 1;
matrix_3x1_not_simple:
the 3 by 1 column matrix; row 1; x; row 2; eigh; row 3; fraction, x over, x plus 1, end fraction;
the 3 by 1 column matrix; row 1; x; row 2; eigh; row 3; the fraction with numerator x; and denominator x plus 1;
determinant_2x2:
the 2 by 2 determinant; row 1; 2, 1; row 2; 7, 5;
the 2 by 2 determinant; row 1; 2, 1; row 2; 7, 5;
matrix_2x3:
the 2 by 3 matrix; row 1; 3, 1, 4; row 2; 0, 2, 6;
the 2 by 3 matrix; row 1; 3, 1, 4; row 2; 0, 2, 6;
matrix_2x3_labeled:
the 2 by 3 matrix; row 1 with label (3.1); column 2; 3, column 3; 1, column 4; 4; row 2; column 1; 0, column 2; 2, column 3; 6;
the 2 by 3 matrix; row 1 with label (3.1); column 2; 3, column 3; 1, column 4; 4; row 2; column 1; 0, column 2; 2, column 3; 6;
matrix_3x1:
the 3 by 1 column matrix; 1; 2; 3;
the 3 by 1 column matrix; 1; 2; 3;
matrix_4x1:
the 4 by 1 column matrix; row 1; 3; row 2; 6; row 3; 1; row 4; 2;
the 4 by 1 column matrix; row 1; 3; row 2; 6; row 3; 1; row 4; 2;
matrix_4x1_labeled:
the 4 by 1 column matrix; row 1; 3; row 2; 6; row 3; 1; row 4 with label (3.1); 2;
the 4 by 1 column matrix; row 1; 3; row 2; 6; row 3; 1; row 4 with label (3.1); 2;
matrix_1x4:
the 1 by 4 row matrix; column 1; 3, column 2; 6, column 3; 1, column 4; 2;
the 1 by 4 row matrix; column 1; 3, column 2; 6, column 3; 1, column 4; 2;
matrix_4x4:
the 4 by 4 matrix; row 1; column 1; 0, column 2; 3, column 3; 4, column 4; 3; row 2; column 1; 2, column 2; 1, column 3; 0, column 4; 9; row 3; column 1; 3, column 2; 0, column 3; 2, column 4; 1; row 4; column 1; 6, column 2; 2, column 3; 9, column 4; 0;
the 4 by 4 matrix; row 1; column 1; 0, column 2; 3, column 3; 4, column 4; 3; row 2; column 1; 2, column 2; 1, column 3; 0, column 4; 9; row 3; column 1; 3, column 2; 0, column 3; 2, column 4; 1; row 4; column 1; 6, column 2; 2, column 3; 9, column 4; 0;
matrix_4x2:
the 4 by 2 matrix; row 1; column 1; 1, column 2; 3; row 2; column 1; 4, column 2; 2; row 3; column 1; 2, column 2; 1; row 4; column 1; 0, column 2; 5;
the 4 by 2 matrix; row 1; column 1; 1, column 2; 3; row 2; column 1; 4, column 2; 2; row 3; column 1; 2, column 2; 1; row 4; column 1; 0, column 2; 5;
simple_absolute_value:
the absolute value of x,
the absolute value of x,
absolute value of x,
the absolute value of x, end absolute value,
absolute_value_plus_1:
the absolute value of x plus 1,
absolute value of x plus 1, end absolute value,
simple_cardinality_value:
the cardinality of cap s,
simple_matrix_speak_col_num:
the 2 by 2 matrix; row 1; column 1; 2, column 2; 1; row 2; column 1; 7, column 2; 5;
col_matrix_3x1_speak_col_num:
the 3 by 1 column matrix; row 1; 1; row 2; 2; row 3; 3;
row_matrix_1x2_speak_col_num:
the 1 by 2 row matrix; column 1; 1, column 2; 2;
matrix_2x2_speak_col_num:
the 2 by 2 matrix; row 1; column 1; b sub 1 1, column 2; b sub 1 2; row 2; column 1; b sub 2 1, column 2; b sub 2 2;
simple_matrix_silent_col_num:
the 2 by 2 matrix; row 1; 2, 1; row 2; 7, 5;
col_matrix_3x1_silent_col_num:
the 3 by 1 column matrix; 1; 2; 3;
row_matrix_1x2_silent_col_num:
the 1 by 2 row matrix; 1, 2;
matrix_2x2_silent_col_num:
the 2 by 2 matrix; row 1; b sub 1 1, b sub 1 2; row 2; b sub 2 1, b sub 2 2;
simple_matrix_end_matrix:
the 2 by 2 matrix; row 1; 2, 1; row 2; 7, 5; end matrix
col_matrix_3x1_end_matrix:
the 3 by 1 column matrix; 1; 2; 3; end matrix
row_matrix_1x2_end_matrix:
the 1 by 2 row matrix; 1, 2; end matrix
matrix_2x2_end_matrix:
the 2 by 2 matrix; row 1; column 1; b sub 1 1, column 2; b sub 1 2; row 2; column 1; b sub 2 1, column 2; b sub 2 2; end matrix
simple_matrix_vector:
the 2 by 2 matrix; row 1; 2, 1; row 2; 7, 5;
col_matrix_3x1_vector:
the 3 by 1 column vector; 1; 2; 3;
row_matrix_1x2_vector:
the 1 by 2 row vector; 1, 2;
matrix_2x2_vector:
the 2 by 2 matrix; row 1; column 1; b sub 1 1, column 2; b sub 1 2; row 2; column 1; b sub 2 1, column 2; b sub 2 2;
simple_matrix_end_vector:
the 2 by 2 matrix; row 1; 2, 1; row 2; 7, 5; end matrix
col_matrix_3x1_end_vector:
the 3 by 1 column vector; 1; 2; 3; end vector
row_matrix_1x2_end_vector:
the 1 by 2 row vector; 1, 2; end vector
matrix_2x2_end_vector:
the 2 by 2 matrix; row 1; column 1; b sub 1 1, column 2; b sub 1 2; row 2; column 1; b sub 2 1, column 2; b sub 2 2; end matrix
matrix_binomial:
3 choose 2