Check the true statements below: ✓A. If the columns of A are linearly dependent, then detA=0. B. det(A + B) = det A + det.B. ✓C. The determinant of A is the product of the pivots in any echelon form U of A, multiplied by (-1)", where r is the number of row interchanges made during row reduction from A to U. ✓D. Adding a multiple of one row to another does not affect the determinant of a matrix.

Q: Use a determinant to decide whether the set is linearly independent. 2 V1 = -3 {V1, V2, V3} ----- =…

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Q: Question 9. Solve ans show work. thanks

A: Hey! Done below. Please ask for further clarifications.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: a a. Evaluate: a a a b. Evaluate: 0 0 0 a a a al la a a a a a a c. Evaluate: 0 0 a a 0 0 0 a d.…

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Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 2 5 6 -3…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let A, B and C be points on the plane with the following coordinates: A = (9,–4), B = (32,13), C =…

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Q: By computing the trace, determinant, and rank, determine that A and B are not similar. 3 B= 1. 0.…

A: For the given matrix check trace, determinant and rank

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (0, 2), (4,-4),…

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Q: 12 =[-1²] Let A = @ without using A-1 6 Solve © Solve and B = [ determinants, compute. 24 235 -2 Ax…

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Q: Use determinant to calculate the area of a parallelogram with the following vertices: A = [4,4] B =…

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