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Chapter 4: Q16. (page 186)

Find the value of each determinant.

8561

Short Answer

Expert verified

The value of the determinant 8561=鈭�22.

Step by step solution

01

- Define the determinant of second-order matrix

The determinant of second order matrix is found by calculating the difference of the product of the two diagonals, that is., abcd=ad鈭�bc.

02

- Find the determinant

Apply the definition of the method of finding determinant of second order

matrix 8561.

8561=8脳1鈭�56

03

- Simplify

To further simplify multiply the values first and then find the difference.

8561=8脳1鈭�56=8鈭�30=鈭�22

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Most popular questions from this chapter

For Exercises 36-39, use the following price list for one-day admissions to the community pool.

38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..

State the dimensions of each matrix.

10.6鈭�15鈭�23鈭�4

Use matricesA, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

28. 3C-4A+B

Use matrices A, B, Cand Dto find the following.

A=57鈭�163鈭�9,鈥夆赌�B=835144,鈥夆赌�C=04鈭�257鈭�1,鈥夆赌�D=6290鈭�30

4C

Determine whether the following statement is always, sometimes, or never true. Explain your reasoning.

For any matrixAm脳nform鈮�n, A2is defined.
See all solutions

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