J
jayjay900
Guest
Please check and explain where I may have gone wrong. Thank you.
1. Which of the following is the matrix for the linear transformation that reflex the point (x,y) over the line y=x?
a. 1 0 b. 0 1 c. 1 1 d. 0 1 e. 1 1
0 1 1 1 1 0 1 0 1 1
I think it's d.
2. Which linear transformation doubles from the origin to the point (x,y) (except for the point (0,0))?
a. 0 sq rt2 b. 2 2 c. 2 0 d. sq rt2 0
sq rt2 0 2 2 0 2 0 sq rt2
I have a.
3. Which of the following is a group?
a. The set (0,1,2,3,) under the operation of multiplication modulo 4.
b. The set of positive rational #s under the operation of addition.
c. The set of 2 x 2 matrices w/ real #s entries under the operation of matrix multiplication.
d. The set of non-0 real #s under the operation of multiplication.
e. The set of integers under the operation of subtraction.
I think it's b.
4. Let a,b,& cbe elements of a ring R. What must be true?
a. ab=ba b. If ab=ac, then b=c c. a(bc) = (ab)c d. If a^2 = a, then a=0 a=1 e. a(b+c) = ab+c
I got c
5. Let G be the group consisting of all 2X2 matrices w/ real entries & non-0 determinant under of matrix multiplication.
Let a b be an element of G. What is the multiplicative inverse of a b ?
c d c d
a. 1/ad-bc d -b
-c d
b. 1 0
0 1
c. 1/ad-bc d -b
-c a
d. 1/ad-bc -a b
c -d
e. 0 1
1 0
I have a.
1. Which of the following is the matrix for the linear transformation that reflex the point (x,y) over the line y=x?
a. 1 0 b. 0 1 c. 1 1 d. 0 1 e. 1 1
0 1 1 1 1 0 1 0 1 1
I think it's d.
2. Which linear transformation doubles from the origin to the point (x,y) (except for the point (0,0))?
a. 0 sq rt2 b. 2 2 c. 2 0 d. sq rt2 0
sq rt2 0 2 2 0 2 0 sq rt2
I have a.
3. Which of the following is a group?
a. The set (0,1,2,3,) under the operation of multiplication modulo 4.
b. The set of positive rational #s under the operation of addition.
c. The set of 2 x 2 matrices w/ real #s entries under the operation of matrix multiplication.
d. The set of non-0 real #s under the operation of multiplication.
e. The set of integers under the operation of subtraction.
I think it's b.
4. Let a,b,& cbe elements of a ring R. What must be true?
a. ab=ba b. If ab=ac, then b=c c. a(bc) = (ab)c d. If a^2 = a, then a=0 a=1 e. a(b+c) = ab+c
I got c
5. Let G be the group consisting of all 2X2 matrices w/ real entries & non-0 determinant under of matrix multiplication.
Let a b be an element of G. What is the multiplicative inverse of a b ?
c d c d
a. 1/ad-bc d -b
-c d
b. 1 0
0 1
c. 1/ad-bc d -b
-c a
d. 1/ad-bc -a b
c -d
e. 0 1
1 0
I have a.