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Announcements Feb 8 Please complete mid-semester CIOS evaluations this week WebWork 1.7 and 1.8 due Thursday WebWork 1.9 extra credit, due Thursday Midterm 1 in class this week Friday Feb 12 on Chapter 1 Office Hours Tuesday and Wednesday 2-3, after class, and by appointment in Skiles 244 or 236 LA Office Hours: Scott Mon 12-1, Yashvi Mon 2-3, Baishen Wed 4-5, Matt Thu 3-4, Shivang Fri 10:30-11 + 12:30-1 Math Lab, Clough 280 Regular hours: Mon/Wed 11-5 and Tue/Thu 11-5 Math 1553 hours: Mon-Thu 5-6 and Tue/Thu 11-12 LA hours: Matt Tue 11-12, Scott Tue 5-6, Baishen Thu 11-12, Yashvi/Shivang Thu 5-6

Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and

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Page 1: Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and

Announcements Feb 8• Please complete mid-semester CIOS evaluations this week

• WebWork 1.7 and 1.8 due Thursday

• WebWork 1.9 extra credit, due Thursday

• Midterm 1 in class this week Friday Feb 12 on Chapter 1

• Office Hours Tuesday and Wednesday 2-3, after class, and by appointment in Skiles 244 or 236

• LA Office Hours: Scott Mon 12-1, Yashvi Mon 2-3, Baishen Wed 4-5, Matt Thu 3-4, Shivang Fri

10:30-11 + 12:30-1

• Math Lab, Clough 280

• Regular hours: Mon/Wed 11-5 and Tue/Thu 11-5

• Math 1553 hours: Mon-Thu 5-6 and Tue/Thu 11-12

• LA hours: Matt Tue 11-12, Scott Tue 5-6, Baishen Thu 11-12, Yashvi/Shivang Thu 5-6

Page 2: Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and

Section 1.9

The Matrix of a Linear Transformation

Page 3: Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and
Page 4: Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and
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Page 6: Announcements Feb 8 - Peoplepeople.math.gatech.edu/~dmargalit7/classes/math1553...Announcements Feb 8 • Please complete mid-semester CIOS evaluations this week • WebWork 1.7 and

Linear transformations are matrix transformations

Q. Find the matrix for the linear transformation of R2 that projects onto they-axis and then rotates counterclockwise by ⇡/2.

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Linear transformations are matrix transformations

Q. Find the matrix for the linear transformation of R3 that reflects throughthe xy-plane and then projects onto the yz-plane.

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One-to-one and Onto

Do the following give linear transformations that are one-to-one? onto?0

@1 0 7

0 1 2

0 0 9

1

A

0

@1 0

1 1

2 1

1

A✓

1 0 0

0 1 0

◆ ✓2 1

1 1