2. An invertible n x n matrix A is called orthogonal if AT = A-1. (a) If A is orthogonal, what are the only possible values for det A? (b) For each value given in part a, give an example of an orthogonal 2 x 2 matrix with that determinant. Show that your examples are orthogonal.

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Q: If the determinant of a 5 x 5 matrix A is det (A) = 8, and the matrix B is obtained from A by…

A: I am attaching image so that you understand each and every step.

Q: 3 6 Evakuate the determinant for the followeng matrix 5/ 1 OAR OC.

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Q: 3. Find the determinant: a) Using Pivotal Element Method only in all the steps b) Using Chio's…

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Q: If A is a 3rd order matrix with a determinant of 5, then det((2A)^-1)=?

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Q: Given the following Matrices: Find the determinant of [3(BT+2A)] * (AB-1) using the Pivotal Method.

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Q: If the determinant of a 5 x 5 matrix A is det(A) = –10, and the matrix C is obtained from A by…

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Q: If the determinant of a 5×5 matrix A is det(A)=8, and the matrix C is obtained from A by swapping…

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Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

A: This question is from topic determinant of matrix.

Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given the matrix A=123456789We need to find the determinant of the matrix by any legitimate method.

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A: Dear Bartleby student,according to our guidelines we can answer only three subparts, or first…

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Q: 1 3 1 -1 -7 1 -2 0 1 5 3 1 2.

A: solution  given below

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Q: Q3: (a) Compute minors (M11, M12 „M13 ), cofactors (C11 , C12 , C13) and find determinant of the…

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Q: Evaluate the determinant of the given matrix by any legitimate method.

A: Given matrix, 10-23-311204-112301

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Q: 1 Find the determinant usnig pivotal denent methord. 1 0 3 2 3 6 1 4 4 1] 2 B = -1 1 5 0

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Q: ) If the determinant of a 4 x 4 matrix A is det(A) = 10, and the matrix B is obtained from A by…

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Q: 2. Find the determinant of matrix D using the three methods. 6, 4 2 7 -9 4 det. D = 18 -3 3 8 9 3

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Q: Suppose AB = AC, where B and C are nxp matrices and Ais invertible. Show that B= C. Is this true, in…

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Q: Consider a 3 × 3-matrix whose first row is a vector a, the second row is a vector b, and the third…

A: given row  of  3×3  matrix  is          a   , vector      b   , vector c=2a+3b    , vector