Explain the fact” The determinant is zero when the matrix has no inverse”.

Q: Determine the determinate of x, sin x, cos x by using a 3x3 matrix

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Q: Can you please write in Words how the determinant is effected. A proof is not necessary

A: Since you asked for no proof and simple terminology.

Q: Compute the determinant of the Cartan matrix: 2-1 0 C= -12 -1 0-12

A: To determine the determinant of given matrix

Q: Can you show how you did the second part, I am still unsure about how to just see that the…

A: In 1st part we replace 5th row by subtracting 5th row from 1st row. So 5th row is zero row.

Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

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Q: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

A: The determinant of a matrix can be calculated by expanding the matrix along a row or a column. The…

Q: Construct your own 4 x 4 or matrices with a higher size. Then, solve the determinant using cofactor…

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Q: What is the determinant of the matrix:  [0 2 0] [0 2 2]  [2 1 0]

A: Given matrix 020022210 We have to find its determinant.

Q: True or False - Determinants of two similar matrices are the same.  Explain.

A: According to the given information, it is required to say whether the given statement is true or…

Q: Suppose V₁, V₂ € R³ are nonzero column vectors and V3 = 2v₁ - 32. What is the determinant of the…

A: Given: Suppose  are nonzero column vectors and  We have to find what is the determinant of the…

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: Show your work!

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Q: If AX=0 has a nonzero solution, the determinant of A is not zero. (A) True B) False

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