Answer:
Does exist -- It only exists when the determinant does not equal zero.
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. If the determinant is zero, the result of the division is undefined and the inverse does not exist.
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For this matrix, the determinant is (-2)(18) -(9)(4) = -72. The inverse exists.
N=7
m=-10
those should be the right answers i believe
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
Answer:
Step-by-step explanation:
<h3>Hope it is helpful....</h3>
