A = [ 2 B =[ 3 C[ 1+i 5+2i 1 + i 15+i 3-i; i; 1-4i; 3i 52i 1- i 7 1 5 3+ i 4 + 3i; 3; -i i 2+5i; 4i -3+i i) Which one of the matrices A, B and C are Hermisian ? ii) Which one of the matrices A, B and C are Normal? iii) Which one of the matrices A, B and C are Unitary ? 4 - 3i 3 2- - 7i] 1 ] 1]

Q: [2 -1 1] A = |1 1 2,x = |y| and b = |b2 [-1 5 4] a. Determine if the columns of the matrix A span…

A: We have to determine  whether the column of matrix A can span R^3

Q: Show that if B is an n × n matrix with entries in C and  B3=B then B is diagonalisable. Where C is…

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Q: For the matrix A= 1 5 -i 8 7 9i 5i 2 3 B= 2 5 -i 8 3 9i 5i 5 3 Find 1- Transpose A* conjugate B 2-…

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Q: 2. Given the matrices A and B, find the products AB and BA 132 23 A = -2 14 B = 14

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Q: Given the three matrices below, determine which of the following expressions are defined. If an…

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Q: 1 Find the linear combination 2$1 +382 + 4s3 b. Then write b as a matrix-vector multiplication Sx.…

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Q: Diagonalize the following matrices a) (0 0 1 2 -2 A : 1 1 0 3 b) 3 2 A -2 -2 -2 1 2 2

A: We find the eigenvalues and corresponding eigenvectors of the given matrix to diagonalize it.

Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

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Q: a) If A and B are invertible and their inverses are A¹ and B-¹ respectively, prove that the inverse…

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Q: 5) A = 3 -2 6 0 0-2 6 Find AB.

A: A=[3−260],B=[0−246]

Q: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: Convert the point (x, y, z) = (-5, 2, -1) to spherical coordinates. Give answers as positive values,…

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Q: Consider the following (complex, symmetric) matrix: B= 8 40 i 40 i -200 Determine the complex…

A: we will find the required.

Q: Matrices P and B are similar. Find H such that HP = BH and H ‡ -1] -3 4 P= [₁3] B= [11] ;B: -4 -3 3…

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