Tell whether the multiplicative group of nonsingular upper triangular matrices, that is, matrices like a b 0 d where the determinant ad is nonzero, is a normal subgroup of the group GL(2,R) of all nonsingular 2x2 matrices over the real numbers under the operation of multiplication. One way to do this is to take the particular matrix 0 1 1 0
Tell whether the multiplicative group of nonsingular upper triangular matrices, that is, matrices like a b 0 d where the determinant ad is nonzero, is a normal subgroup of the group GL(2,R) of all nonsingular 2x2 matrices over the real numbers under the operation of multiplication. One way to do this is to take the particular matrix 0 1 1 0
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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Tell whether the multiplicative group of nonsingular upper triangular matrices, that is, matrices like
a b
0 d
where the determinant ad is nonzero, is a normal subgroup of the group GL(2,R) of all nonsingular 2x2 matrices over the real numbers under the operation of multiplication. One way to do this is to take the particular matrix
0 1
1 0
and conjugate the matrix in the previous display by this matrix and see if the form is preserved.
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