How to: Cofactor expansion 1)pick the row or column with the most zeros 2)Numbers in that row are each of the a's before each cofactor 3)Plus, minus as a checker board Cannot be determined All of the above None of the above

1)pick the row or column with the most zeros 2)Numbers in that row are each of the a's before each cofactor 3)Plus, minus as a checker board

How to: Determinant and row operationEvaluate the determinant of the matrix by first reducing the matrix to ref form. 1)Use row operations to reduce matrix to upper triangular form 2)Take the product of the main diagonal to get determinent None of the above Cannot be determined All of the above

1)Use row operations to reduce matrix to upper triangular form 2)Take the product of the main diagonal to get determinent

How to: Cramers rule All of the above None of the above Cannot be determined 1)Set equations as matrix Ax=b 2)Solve for det(A) 3)Solve for det(A1) replacing first column with b 4)Solve for det(A2) replacing second column with b 5)Find x1 and x2

1)Set equations as matrix Ax=b 2)Solve for det(A) 3)Solve for det(A1) replacing first column with b 4)Solve for det(A2) replacing second column with b 5)Find x1 and x2

How to: Show that Scalars in linear combination do not exist None of the above If there is a row of zeros and c≠0, scalars do not exist All of the above Cannot be determined

If there is a row of zeros and c≠0, scalars do not exist

When do vectors lie on the same plane? All of the above None of the above If vector w is formed by the plane of u+v, w is on that plane. Cannot be determined

If vector w is formed by the plane of u+v, w is on that plane.

Given ||v|| and ||w||, what are the largest and small values possible for ||v-w||? 1)Largest: add to each other if parallel 2)Smallest: subtract from each other if parallel None of the above Cannot be determined All of the above

1)Largest: add to each other if parallel 2)Smallest: subtract from each other if parallel

How to: Vertices of a right triangle from points None of the above 1)Points -> Vectors 2)Check if orthogonal 3)If so, forms a right triangle All of the above Cannot be determined

1)Points -> Vectors 2)Check if orthogonal 3)If so, forms a right triangle

How to: Express the vector as a linear combination of u, v, and w None of the above Cannot be determined All of the above 1)Set up as a linear combination 2)Set up as matrix 3)rref 4)a, b, c values= a1 a2 a3

1)Set up as a linear combination 2)Set up as matrix 3)rref 4)a, b, c values= a1 a2 a3

How to: Determine wither the set {TA(u1) TA(u2) TA(u3)} spans Rn None of the above Cannot be determined 1) Multiply each u by A to find TA(u) 2)Form nxn with TA(u)s 3)Check invertibility using the det(A) 4)If not 0, it spans All of the above

1) Multiply each u by A to find TA(u) 2)Form nxn with TA(u)s 3)Check invertibility using the det(A) 4)If not 0, it spans

F'(x)=0 f(x)=cosx f(x)=constant Ex. 1,5,1000,30000000 f(x)=sinx f(x)=a^x (if a>0)

f(x)=constant Ex. 1,5,1000,30000000

Explaining translations All of the above Translate __ by the directed line segment __ None of the above Cannot be determined

Translate __ by the directed line segment __

Explaining rotations Cannot be determined All of the above None of the above Rotate __ cw/ccw by __ degrees using center __

Rotate __ cw/ccw by __ degrees using center __

Standard form of a circle (x-h)² + (y-k)² = r² where (h,k) is the center & r is the radius All of the above None of the above Cannot be determined

(x-h)² + (y-k)² = r² where (h,k) is the center & r is the radius

Parabola equation None of the above Cannot be determined All of the above (x-h)² + (y-k)² = (y-d)² where (h, k) is the focus & d is the directrix

(x-h)² + (y-k)² = (y-d)² where (h, k) is the focus & d is the directrix

How can you determine if (x, y) is on the parabola? All of the above None of the above When the hypotenuse (connecting focus and the point) is equal to the vertical distance (connecting point to y-axis) Cannot be determined

When the hypotenuse (connecting focus and the point) is equal to the vertical distance (connecting point to y-axis)

Vertex form of a parabola y = a(x-h)² + k where (h, k) becomes the vertex Cannot be determined None of the above All of the above

y = a(x-h)² + k where (h, k) becomes the vertex

(Parabola Vertex form) What's the purpose of a? Cannot be determined All of the above None of the above a 1 = narrower -a = turns down (conic down)

a 1 = narrower -a = turns down (conic down)

Segment splitting x : y ratio, segment AB (y/x+y)*A + (x/x+y)B All of the above Cannot be determined None of the above

x : y ratio, segment AB (y/x+y)*A + (x/x+y)B

Two variables is an ordered pair that is common to each equation in the system that makes all equations true. Solution of a System of Linear Equations Quadratic Function Substitution Coefficient

Solution of a System of Linear Equations

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