Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. -[₁ 12 18 6 -24 STEP 1: Factor out the greatest common divisor. A = 12 18 6 -24 = 6 x 2 1 3 -4 STEP 2: Find the determinant of the matrix found in Step 1. -11 STEP 3: Find the determinant of the original matrix. -396

Q: 4 3 -7 and, finally, the value of the original determinant is 10 -1 -5 | 2 -3 7

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Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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Q: Explore the effects of an elementary row operation on the determinant of a matrix. State the row…

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Q: Calculate the 3 x 3 determinant. (Use symbolic notation and fractions where needed.) -3 0 0 0 0 0 3…

A: It is required to solve the given 3x3 determinant.

Q: Show that the determinant of the matrix is equal to the determinant of its transpose by expanding…

A: Here, we have to find |A| and |A^t| by expanding third row and third column respectively.

Q: find the determinant of the matrx 6 -6 -7 8 Give just a number for your answer

A: The given matrix 6-6-78 The determinant of a 2×2 matrix is found by abcd=ad-bc

Q: Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. 12 18 A = [ ¹² 6-24 STEP…

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Q: Find the value of the determinant. АВ С - 1 3 4 50-5 АВ С -1 3 4 %3D 50-5

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Q: Use elementary row operations to evaluate the given determinant. (1, 7, −3; 1, 3, 1; 4, 8, 1)

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Q: Use expansion by cofactors to find the determinant of the matrix.

A: We have given the matrix;