Question #12 An orthogonal matrix is one in which à = A-1. True O False Question #13 * A' is called the complex conjugate of matrix A. True False Question #14: If the adjoint of a matrix is the matrix itself, it must be a Hermitian matrix. True O False

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Q: Which of the following matrices are Hermitian?

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A: This problem is related to the vector algebra. The problem is solved in the following image.

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Q: If A and B are invertible 5x5 matrices, then A+B is also invertible. True False

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Q: b) The following proposed proof contains two mistakes. Explain the mistakes. Result Let A and B be…

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Q: 33-6 -26] A = 33 8. 21 39 -8

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Q: Which of the following statement is correct? a. R= I3x3 can be a rotation matrix b. Rotation matrix…

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Q: det(cA) = c det(A) Insert a number to sho

A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.

Q: Verify that (a) AI=A (b) IA=A A 6 [Vo$₂2] 7 Part: 0 / 3 Part 1 of 3 Write the correct identity…

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Q: TRUE or FALSE: Every invertible n xn matrix is similar to the identity matrix In.

A: To state true or false given statement.

Q: 11 7 7 5) 711 7 7 711

A: (.)  Let  given matrix is ,             A= 117771177711 (.). If sum of rows (columns) of a matrix is…

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Q: True or False The identity matrix has properties similar tothose of the real number 1.

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Q: Prove [A, B] not positive and A,B are square matrices(matrix theory) [A, B] = AB - BA.

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A: The given statement is false.

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Q: Prove of disprove the statement: If A is a n × n matrix and c is a scalar, then det(cA) = c det(A).

A: The given statement, "If is a matrix and is a scalar, then ".We have to prove or disprove the…

Q: Describe all 1 by 1 and 2 by 2 Hermitian matrices and unitary matrices.

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