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

Q: Find the conjugate of z = u+w If u = 6+2i,z= 1+4i

A: Step 1: The conjugate of a complex number z=a+bi is: zˉ=a−bi i.e., it is obtained by changing the…

Q: 1 -2 3 4 [7 9.

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Q: Find the determinant and the inverse of the matrix [ 1/8  1/4] [ 3/2    1

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Q: Determine the cofactor attached to the element a13 of the following 3 x 3 matrix: (2 -1 0 1 - 2 3 0…

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Q: Find the inverse of A 1 1 16 2 5 3 1 1 1 2 02 2 3 1 3 3 59 3 2 7 1 3 using the cofactor method.

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Q: . Solve these two simultaneous linear equations using Cramer's method of determinants.

A: Given,

Q: Find the inverse of the following atrix by using (Adjoint matrix method). 1410-18 A = [²²₂ =²5] [**]…

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Q: From the cubic polynomials, P3 to the fourth-degree polynomials P4, what matrix represents…

A: Given : Tv=2+3tv To Find : The matrix representation of the given transformation.

Q: Q 3 Q) And the deferminant and the inverse matrix of 1 Hee ì N is the complox unit ( which satisties…

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Q: What does it mean that matrix A is orthonormal? What does it mean that matrix A is positive…

A: There are different types of matrices. Matrices have different types of properties and based on…

Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

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Q: Calculate  x and y (2+xi)+(y+3i)=7+4i

A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…

Q: B. If the complex function f(z) = u + iv, find u and v for the following complex %3D function: (2 -…

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

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Q: Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

A: The given vectors are:                                            15i- 3j and -4i +bj;   Two vectors…