shinekamui
13.09.2021 •
Mathematics
Directions: Write the word TRUE if the statement is true; and encircle the
word that makes the statement false and write the correct
answer on the space provided on the answer sheet.
1. Cambodia’s art music is highly influenced by ancient forms as well as
Hindu forms.
2. Cambodian court music is roughly similar to that of Java, Indonesia.
3. Cambodian court music features choruses with large orchestras of
purely wind instruments.
4. The Pinpeat ensemble that usually accompanies ceremonial music of
the royal courts and temples.
5. The Pinpeat ensemble usually consists of five instruments.
Solved
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Ответ:
I.
A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4
Null space is exactly two dimensional plane
dim null (A) = 2
II.
Rank A = dim U - dim Null A = 5 - 2 = 3
III.
Number of linearly Independent columns of A is the rank of A = 3
IV.
Yes, The system Ax = b has no solution sometimes as range of A \neq V
V.
Yes,Sometimes Ax = b has a unique solution
VI.
Yes, sometimes Ax = b has infinitely many solutions