36. Show that 1| tr(A) | tr(A²) tr(A) 1 det(A) = 2 - for every 2 × 2 matrix A.

Q: Using the Gauss Method, or what we refer to as the Elementary Row Operation, get the determinant of…

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Q: Question 1 Determinants (a) Find the determinant of the matrix A = 1. where z e R. (Hint: Use row…

A: To find the determinant of the given matrix.A=1xxxx1xxxx1xxxx1

Q: Use the cofactor expansion to compute the following determinant: -19-9 det 1 3 -7 = 0 -1 5-6

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Q: Find |A-1. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: Given matrix is: A=1015-151-53

Q: Find the given determinant by any method. 0 0 0 0 2 0 0 0 9 0 0 0 90 0 = i 0 1 00 0 6 0 0 0 0

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Q: sin x cOs x 1 – sin x 2sin x 2 cos x 3 cos x -1

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Q: Determinants Example 49. Find 1 3 1/1 5 -8

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Q: 5 Determinants Calculate the determinant of the matrices 0 1 0 0 0 a 0 0 1220 2403 0020 0003 M = , N…

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Q: Determinant of 2 x 2 Matrices. Solve for the determinant of the following matrices: 10 D = x² – 3y…

A: Matrics

Q: According to determinant properties, multiple of one row is added to another row then determinant…

A: In a determinant, the given property states that multiple of one row is added to another row. We…

Q: (a) Find the following by expansion along a row or column: 0 3 -1 0 2 -1 1 0 1 -3 2 1 2 4 - 2 (b)…

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Q: e the appropriate property of determinants to find a. Do not evaluate the determinants. 12 -9 4 -3…

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Q: Use a determinant to find the value of a that make the matrix A = a = a 1 2 1 2 3 non-invertible. 1…

A: Solution :- For, Matric should be non-invertible : Determinant should be equal to zero.…

Q: Evaluate D = 1 3 1 -2 2 0 -2 -4 ବ -1 2 1 5 0 3 1 6

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Q: Find the determinant of by cofactor expansion. 040 2 10 0 0 0-1 0 4 0 -4 0 1 44 0 0 3 -9 0 0 -4-5

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Q: #3 Compute the determinant using a cofactor expansion across the first row, 203 332 04-21 Using this…

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Q: If determinant of A = 0.25 , then determinant of A= 5

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Q: Evaluate the determinant of the given matrix function. A(t) = | 2e* 5e 2t -5r

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Q: Use row operations to show thr tge determinant is 0.

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Q: Compute the determinant using cofactor expansion alon 103 211 015

A: Given matrix is          A=     103211015Co-factors Mij :            M11=5-1= 4   , M12=-(10-0) =-10…

Q: Using Determinants Show that 1 X x? y y= (x - y)(y – 2)(z – x) 1 1 2.

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Q: Use expansion by cofactors to find the determinant of the matrix. 5 2 0 6 0 0 -4

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