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Linear Algebra1

Authored by Achal Agrawal

Mathematics

1st - 5th Grade

CCSS covered

Used 1+ times

Linear Algebra1
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Take 2 (2D) vectors in a line passing through origin. Multiply the vectors with any 2x2 matrix. What can you say about the resulting vectors?

They will also lie on a line passing through origin

They will lie on a line, but not necessarily passing through origin

They will not lie on a line

Tags

CCSS.HSN.VM.C.11

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Take 3 (2D) points in a line not passing through origin. Multiply them with a 2x2 matrix. What can you say about the resulting vectors

They will still lie on a line

They will no longer be in a line

They will lie in a line through origin

Tags

CCSS.HSN.VM.C.8

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is a linear combination of any random two 3D vectors

A plane

A line

A point

Entire 3D Space

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For What b does the equation have a solution

Any b

b that lies in the plane of the column vectors

only 1 possible b

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is R3 a vector Space?

Yes

No

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is first quadrant of 2D space a Vector space

Yes

No

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Any plane passing through origin is a Vector Space

Yes

No

Depends

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