Consider the matrix A and the vectors p and q. 1 -3 9. A = -3 0 p= -6 | q = | -9 2 4

Q: square matrix B, the following conditions - all vectors V,

A:

Q: Determine if b is a linear combination of the vectors formed from the columns of the matrix A -5 -2…

A:

Q: For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. 3 5 - 6 A = -…

A:

Q: Q:: A- Given points A=(1,a) and B=(2,3) , calculate the value of a if the magnitude of the vector AB…

A: A) From the given points: A=1,α,B=2,3 Now find the vector AB: AB→=OB→-OA→=2,3-1,α=2-1,3-α=1,3-α…

Q: Can each vector in R* be written as a linear combination of the columns of the matrix A? Do the…

A: Given the matrix                  A=24-510-1-110-40-22002-313

Q: Find all the vectors b e R such that the linear system A7 = b is consistent, where the coefficient…

A:

Q: 4 5 8 what is the value of the element in For the matrix A = 2 3 6 4 9 the second row and first…

A: Consider the given matrix: A=458236149Find the cofactor Matrix:Cofactor of 4= (-1)1+1(27-24)…

Q: (a) Find x, y, z and B, where 10 x 3 -3 y 4 4 A = 1 ; A² = 1 ; A² = 1 ; ; c(A+1)+3BT = 2A and I :…

A:

Q: se the matrix P to determine if the matrices A and A' are similar. 14 3 -2 P = 1 A = A' -20 -13 2 -2…

A:

Q: A. Do the columns of the matrix below form a linearly independent set of vectors? You may justify…

A:

Q: Consider matrix attatched and vectors attatched, Let w = Ax+y. Write down w2.

A:

Q: (a) Which element of 1 0 4. 2 3 1 3 B = 3 A = 3 7 8 4 3 7. 8. 4 is represented by a32? (b) Is A a…

A: As per student asked the question why is a32 = 8?

Q: 4 9. The vector is a linear combination of the vectors and -7 if and only if the matrix 8 equation…

A: Let A be a m×n matrix then the system Ax = b has a solution if and only if b is a linear combination…

Q: ^ - [ 3 ] and B = [² = 4 5 If A 4 5 7 6 find 3A-2B+ I where I is a unit matrix.

A:

Q: 4. Determine if b is a linear combination of the vectors formed from the columns of the matrix A. 1…

A:

Q: 11. Given a matrix A, what is A? 0 12 A 1

A:

Q: Q: A- Given points A=(1,a) and B=(2,3), calculate the value of a if the magnitude of the vector AB…

A:

Q: 1 3 -2 2 1 1 -5 Let A = 1 2 -3 7 -2 -8 2 -1 A. Do the columns of A span R4 ? B. Does the equation B…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: -3 5. For the matrix A -6 9 what is the value of JA|? %3D 2. А. - 36 В. 48 | С. 36 D. - 48 Select…

A:

Q: Write the row vectors and the column vectors of the matrix. 340 -4 1 1 (a) the row vectors (b) the…

A:

Q: Give the 4x4 matrix that rotates the points in R about the z-axis through an angle of -30°, and then…

A: We have to find the 4×4 matrix that rotates the points in R3 about the z-axis through an angle of…

Q: tet A be an x n matrix satisfying A-3A + 1, = 0 where O is the nXnzero matrix. Then A-1 = 31, – A²

A: i have provided solution in step2.

Q: The norm of the matrix A O True O False [3 [1 1] is equal 4. 3.

A: Given matrix A=3113. The objective is to tell the norm of a matrix A is 4 true or false.

Q: 8. it is said for a matrix to be normalized if the magnitude is o. 9. The vector sum of [1 2] + [2 4…

A: For the solution along with explanation follow the next steps.

Q: Q 1. For frame F, find the values of the missing elements and complete the matrix representation of…

A: The expression can be computed by using the general matrix and equating the matrix element to zero…

Q: '2 5 4 For the matrix A = ( 2 5 0 3 7 9, what is the value of |A|? A. 176 В. 89 С. О D. - 4

A: If A is a square matrix then  A = determinant of matrix A

Q: a)Suppose the above equation is expressed as Ax=B with x = (a,b).Express the coeffieints of the…

A:

Q: --E-A Consider the column vectors W3 [x3 and the matrix -W3 Ω- -Wi . Is it true or false that the…

A:

Q: HAND CALCULATION: When writing 10 simultaneous equations with 7 unknowns in the Ax=b matrix form,…

A: When there are 7 unknowns , then all the unknowns will be present in x matrix So, no .of unknowns =…

Q: Q1. a) If A = 4 6. -2 then find the matrix X such that 2A+3X = 5B -2 and B = 4 %3D 3 -5 1 b) If M =…

A:

Q: (BH) Recall that a matrix Q is orthogonal if Q' Q = I.

A: Given, A matrix Q is orthogonal if QTQ=I Proof: (a) The one way to write the norm for vector x is…

Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R?, where 31 b1 b2 C2 7 3 10 22 b] what is the…

A:

Q: (a) After representing the population in a given week as a column vector v = [n; p; h], where n, p,…

A:

Q: Can each vector in R4 be writton as a linear combination of the columns of the matrix A? Do the…

A:

Q: 2. 5 4 For the matrix B = what is the value of |B|? 3 7 9 5 0 12 А 17 В. 4 | С. 0 D. -4

A:

Q: Can each vector in R* be written as a linear combination of the columns of the matrix A? Do the…

A: The given matrix A=317-12-1-1-22-40-102002-19

Q: For a ,b element of real numbers, min{a,b} =a if a≤b and if b ≤a. Let A =(aij) be a 3×3 matrix with…

A: Given that the matrix A is 3×3. The elements in the matrix is defined as follows. aij=max1,i,-j

Q: 26 Select the correct answer. Which matrix can be multiplied to the left of a vector matrix to get a…

A: The given problem is solved below in detail.

Q: FOR what of $ a does the matrix has no inverse? 12 4 9. 3 C. 9 b. d.4

A:

Q: I the matrix A a Solvé the follov 31 r? - Y

A: 2, A) If A-1=-2132-12and det =-2. Find the matrix A and what is the rank of this matrix?B) Solve the…

Q: -2 11 and vector b = -5 Is b in the Let the matrix A = 3 -2

A:

Q: Determine if b is a linear combination of a,, a,, and ag. 4 a, = -2 a, = az = -6 b= - 3 4 Choose the…

A:

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: Show that rows and columns of the given matrix are orthogonal? 2 6. 13 39 -2 7. 7. V13 39 4. -3 8.…

A: Given the matrix is L=213-15639313-25739413-35839

Q: (c) Find P-1 and A' (the matrix for T relative to B'). 1 1 p-1 = 1 1 1 1

A:

Q: The trace of an n × n square matrix A is the sum of its diagonal entries, denoted Tr(A) = a11 + a22…

A: Let A=a11a12...a1na21a22...a2n........an1an2.ann and B=[b11b12...b1nb21b22...b2n........bn1bn2.bnn]…

Q: a2 If the columns of the matrix A = -1 are orthogonal, then 2 -1 a2 tas a. a = 2 O b. a1 = -2 O c. a…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.