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CSET Linear Algebra
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CSET Linear Algebra
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25 Questions

1. (mk) + (mk -1)= (m+1k)

2. Check for up to the square root of the number

3. Or norm - of a vector using the distance formula. |v|=(x2-x1)2+(y2- y1)2. (square each component of vector)

4. Vector a +vector b is placing head of a next to tail of b and sum is a new vector

5. Square matrix with ones diagonally and zeros for the rest.

6. Product of two numbers divided by greatest common denominator

7. On X - Y and Z plane

8. F ? is the angle between vector A? and the x- axis - then Ax=Acos??Ay=Asin?? EX. If ?= 60

9. Take the magnitude of the cross product of any two adjacent vectors of the form (a - and b are y - y - x-x - and c can be zero)

10. If the GCF is one - the numbers are relatively prime

11. Vector that describes direction and speed

12. Matrix 3x3: i j k a1 a2 a3 b1 b2 b3 i (a2a3/b2b3) - j(a1a3/b1b3) + k (a1a2/b1b2)=

13. Multiply first row by first column - add. Multiply first row by second column - add. Mxn multiply by next. Not necessarily commutative

14. Every integer greater than 1 can be expressed as product of prime numbers

15. Same as triangle law except resultant vector is a diagonal of a parallelogram

16. Dot product must equal zero

17. Is commutative - associative

18. (inner product)(scalar product) Result is scalar - large if vectors parallel - 0 if vectors perpendicular. Tells us how close vectors are pointing to same point.

19. Follows same rules as scalar - but done component by component - and produces another vector (resultant)

20. Have same magnitude and direction - but possibly different starting points

21. Must be scalar multiples of each other

22. Magnitude and direction

23. A vector with a magnitude of 1. the positive X- axis is vector i - pos. <1 -0> y xis is vector j <0 -1>

24. Addition: A?+B?=or C?+D?= Subtraction: A?- B?=or C?+D?= Scalar Multiplication: kC?=k=or kA?=k=

25. (0 -0) in two dimensions - (0 -0 -0) in three. magnitude is 0 and no direction - it is a point geometrically

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