orthogonally diagonalize A

Q: 1%3D -1 2.

A:

Q: Find the length of the vector I -6 -5 ||

A: x→=x1x2x3length of vector x→ is (x1)2+(x2)2+(x3)2

Q: AB is orthogonal

A:

Q: Verify the orthogonality p

A: answer is in next step

Q: e diagonalizable?

A:

Q: Are vectors a = (2, 1, 3) and b = (2, -5, 1) orthogonal? %3D %3D

A:

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

A:

Q: ii) Determine whether u and v are orthogonal or not.

A: Let x = <a, b, c> Given :-  x with magnitude 3 is in opposite direction to u. -u =…

Q: Explain when a projection vector is negative, positive, or zero.

A: This question is based on dot product of two vector.

Q: We say that two vectors are equivalent .if they have the same components

A: Ginen statement, Two vectors are equivalent if  they have same component.

Q: If a vector is expressed in terms of i and j, explain how to find the scalar multiplication of the…

A: The vector quantity has both magnitudes as well as the direction. if we multiply a vector by a…

Q: Find the Values of for which vectors linearly dependent the are -3 4 -5 8. 6. - 2 6. -8

A: Given that three vectors are linearly dependent.

Q: Two vectors are equivalent if they have the same _______ and _________.

A: Two vectors are equal if they have same magnitude and same direction. If we have a vector u=3i+4j…

Q: Draw an example of two opposite vectors that are not parallel or explain why such vectors don't…

A: To find: Two vectors opposite in direction which are not parallel. or, Explain why above two vectors…

Q: Write down the 2 by 2 matrix that a) project every vector onto x¡ axis. b) rotate a vector clockwise…

A: We have to solve given problem:

Q: Normalize the vector

A: Given vector is v=  2-1  3

Q: Use paper and pencil to identify the redundant vectors. 2 1 3. 4. 3. 4.

A: We have to identify redundant vectors.

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Find the projection of vector ū %3D

A: Given: a) u→=-i+5j+3kv→=-i+j-3k To find the projection of u→ on v→ b) To find the area of triangle…

Q: snip

A: Given Orthogonally diagonalize A=abba,If b not equal to zero

Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

A:

Q: Determine the tail of the vector whose head is (3, −2, 2).

A: We have to determine the tail of the vector whose head is 3, -2, 2 and position vector is: 24-1 We…

Q: Find two linearly independent vectors perpendicular to the w 41 -6- 1

A: Given: vector is v→=4-91 we have to find the two linear independent vectors perpendicular the given…

Q: Write a DAG model for computing the dot product between twon-dimensional vectors r and y.

A: Let,  x→=x1i^+x2j^+x3k^y→=y1i^+y2j^+y3k^

Q: Define the term column vector.

A: Column Vector is defined as a column matrix representing the elements of any vector written in…

Q: Proivde Definitions of Vectors and Matrices?

A: Vector: A vector is a group of numbers whether it is in row or in column. vector is also a matrix.…

Q: The orthogonal vectors are also independent.

A:

Q: Determine if the vectors (2, –2, 1) and (0,1, 2) are orthogonal.

A:

Q: Define the vector?

A: we have to define the vector.

Q: Find the length of the vector. v - (9, 12)

A:

Q: Any row vector created can be transposed to result in a column vector. how ? (with example)

A: See the attachment

Q: Project the vector b = (1,3,1)" onto the line through %3D a13D (-1,2, 2)Т, (2, 2, –1)", аz 3D az=…

A: Given: Let us assume, b= (1,3,1)T  a1=(-1,2,2)T   a2=(2,2,-1)T   a3=(2,-1,2)T

Q: What must be a if the vectors (1,-a,1,1). (-1,a+2,–2, a –1), (0,2, –1,a² +a-4) are linearly…

A: We have to solve given problem:

Q: Explain the Combination of basis vectors.

A:

Q: diagonalize ona %3D

A: Explanation of the solution is given below...

Q: Determine whether the statement "It is possible to find the cross product of two vectors in a…

A: Solution:- We have to determine whether the statement "It is possible to find the cross product of…

Q: Illustrate and explain how to compute the vector product of two vectors.

A: Given query is to find explain vector product.

Q: Find the coordinate vector of [3, -4, 7]

A: We have to find the coordinate vector of (3,-4,7) relative to the ordered basis B. Since (a,b,c) is…

Q: Write the vector (7, 4,-12) vectors (-2, 1, 2), (1, 1, –2) as a linear combination (if possible) as…

A:

Q: Find a vector a that has the same direction as (-8, 9,8) but has length 3.

A: The solution is given below

Q: .3

A: Given: v={ √2,3√2}

Q: Prove that swapping the order of vectors in the cross product changes the sign of the output: ьха3 -…

A:

Q: Explain how to add vectors.

A: vector:  a quantity which has magnitude along with direction is a vector. vector addition:…

Q: Explain how to find the dot product of two vectors.

A: The dot product of two vectors is the product of the magnitude of the two vectors and the cos of the…