Question
C.
D.
Which of the following subsets of P2 are subspaces of P2? Which of the following subsets of R3 3 are subspaces of R3 3? The 3 3 matrices with all zeros in the third row The 3 3 matrices A such that the vector is in the kernel of A The 3 3 matrices in reduced row-echelon form The 3 X 3 matrices whose entries are all greater than or equal to The diagonal 3 3 matrices The 3 3 matrices whose entries are all integers Find the dimensions of the following linear spaces. The space of all upper triangular 6 6 matrices P7 The real linear space C3 (a) If S is the subspace of M5(R) consisting of all lower triangular matrices, then dim S = If (S is the subspace of M6(R) consisting of all diagonal matrices, then dim S =
Explanation / Answer
1)no
2)yes
3)yes
4)yes
5)yes
6)yes