-2i If A = i , which of the following best describe the matrix A? -2il -2i -2i i C) Scalar A) Upper triangular E) Diagonal B) Symmetric D) Lower triangular H) A and C F) B and C G) C and D

Q: Complete the matrix A so that it is skew-Hermitian. i 2—6і - A = 1 9i Y = = 2

A: Given the matrix, A=0i2-6ix01yz9i The matrix A is said to be skew-Hermitian matrix if, A*=-A Where…

Q: Find two different 2x2 matrices A and B such that AB = BA. %3D --. .. (Use a comma to separate…

A:

Q: Find A by transforming the columns of the identity matrix, e, and ez. 1 0 1 12 0 1 e1 e2 1 Reflect…

A: The transformation matrix A is, 0 1 1 0

Q: Is this the correct definition of upper triangular, for a matrix A? Aij * 0 when j 2 i O Yes No

A: Since you have asked multiple questions , we will solve first question for you. If you want any…

Q: Give a matrix representation of the quadratic form f(x, y, z) = 4x 2 + 9y2+ 16z 2 − 2xy + 4xz − 6yz…

A: Given: f(x,y,z)=4x2+9y2+16z2-2xy+4xz-6yz             We have to find a matrix representation of the…

Q: The adjoint of the matrix (−3−2−1−1) is

A:

Q: Given the matrix 2 2 3 1 2 A = 0 2 7 7 Find the |A| by transforming the matrix A to the triangular…

A: Given :A=222023771

Q: Find Aes, Aso, c, 25 for the matriX

A:

Q: -2 Find C2, where matrix C = [3/2 c. Lis 22! d. Lio 21 101 а. 15 l10 22] 3 b.;

A:

Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

A:

Q: Given the matrix 2 2 2 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

A:

Q: Given that the matrix [5/2 is unitary, calculate the complex number z. i/2 i/2 √√3/2

A: A complex square matrix U is a unitary matrix if its conjugate transpose (U*) is its…

Q: Show that if A is a square matrix that satisfies the equation A2 -2A +I= 0, then A-1 = 2I -A.

A:

Q: Let A = ; 1.B - : J.c= , ], anc 2 37 ol.c = [ 1 and v = |1. What is the sum of the entries of the L4…

A: Note: We know that for matrix P of order m*n and Q of order n*t, the multiplication PQ is possible…

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: Consider A and B are two square matrices and B is a scalar. Calculate (BA^T B)^(-1) = *

A:

Q: Find a 2 x 2 matrix B + 0 and B + 1, such that AB = BA, where A How many such matri- 2 ces B are…

A: Given data: The matrix is given by "A". A=1221 Consider the matrix "B". B=abcd According to the…

Q: Find 6×6 matrix a, that satisfies the stated condition. Make your answers as general as possible by…

A: Let the genral 6*6 matrix is given by…

Q: Due to what property, applied to the matrices and scalars below, do we know that (cd)A = c(dA)?

A:

Q: Assume that the matrix A is row equivalent to B. Without calculations, list rank A and dim Nul A.…

A:

Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: Answer considering the matrix with th e given vectors as its columns

A:

Q: :- -b where a and b are positive real numbers, The matrix C %3D a V3 2 and C2. V3 2 m+n TC can be…

A: The given problem is to find the value of cos(π/12) that can be written in the given form using the…

Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

A:

Q: a) Factor the matrix A into the product XDX- where D is diagonal. (-1 -2 2 A = 4 3 -4 -2 b) Verify…

A:

Q: Find the matrix E so that EB=C, where a, a, a, B= b, b, b, & C= 1 а, а, 0 8, 8,

A: Given that the matrix B ad C To find the matrix E so that EB=C with a1 is not equal to zero.

Q: Due to what property, applied to the matrices and scalars below, do we know that c(A + B) = cA + cB…

A: Given: We have to state which property for c(A + B) = cA + cB and (c + d)A = cA + dA

Q: Consider the ordered bases B = {1+x, 1 – x} and B' = {u1, U2} for P1(IR), and suppose that 2 Q = ( -…

A:

Q: Find the symmetric matrix that corresponds to the quadratic form q(x, y, z) = 3x² + 4æy – y² + 8xz

A:

Q: Perform the elementary row operation R, – 2R3 → R4 to matrix C to obtain matrix D. -1 0 0 0j 2 -2 1…

A: Our AIm is to perform the elementary row operation R4-2R3→R4in the matrix given below:-

Q: Determine if the columns of the matrix span `R^{4}`. Give your arguments.

A:

Q: Suppose A is rectangular ( m by n) and S is symmetric ( m by m).(a) Transpose AT SA to show its…

A: Given: Matrix A is rectangular ( m by n) and matrix S is symmetric ( m by m).

Q: (i', se i = j ((i + 1)', se i = j A ={ .se i ti B = se i ti

A:

Q: For an n × n matrix A, explain how to find each value. (a) The minor Mij of the entry aij (b) The…

A: (a) To determine: The minor Mij of the entry ai j of the n x n matrix A.

Q: Par+ 1 Let A be square matrix and C= A-A, then Cis symetric True False ?

A: Part 1- Given-  If, A be a square matrix and C=A-AT, then C is symmetric matrix. To Check- If the…

Q: In exercises 8 to 13 , explain how your calculations justify your answer, and mention an appropriate…

A:

Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

A:

Q: Use the dot matrix to draw the following 11) Line AC 12) Segment AB 13) Angle ZABD 14) Line ÈF…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Consider the matrix

A: Given, the matrix                    A=1-101-1121-141-10-112-2042-282-2

Q: First change the given pattern into a vector w of zeros and ones by turning each shaded square into…

A: M = 0 will be the right answer.

Q: Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

A:

Q: Given the cofactor of matrix A, What is the adjoint of A?

A: Adjoint matrix is the transpose of cofactor matrix.

Q: Consider the matrices A = and B c d Show how you use the dot product definition to calculate ONLY…

A:

Q: [1 0 2 31 l4 5 B = 6 ol,c = l6 ál, and V = |1|. What is the sum of the entries of the Lo. matrix VT…

A:

Q: Given the matrix 2 2 2 3 1 A = 0 2 7 7 Find the |A| by transforming the matrix A to the triangular…

A: Given :A=222023771

Q: Let A be nxn orthogonal matrix and v E R". Then ||Av||? = || ||?. %3D Select one: True O False

A:

Q: (a) Find 0 1 ,y,z and B, where 3 y ; A² = 1; C(A+1)+3B7 = 2A and /:unit matrix

A: a)

Q: let A be an mxn matrix and v and w vectors in Rn. If v and w were both solutions to Ax=0, show that…

A:

Q: For A e Mnxn(C), the function ||A||. = max1<ijśn |aij| is a norm on Mnxn(C) but not a matrix norm.…

A: Matrix Norm: Let Mn×n(ℂ) be the vector space of all matrices of order n with entries in the field ℂ,…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.