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Black_prince [1.1K]
3 years ago
9

Is it possible to contruct a 4x3 matrix b and a 3x4 matrix c such that bc is invertible?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
Matrix B has dimensions 4x3 
Matrix C has dimensions 3x4

Write out those dimensions like so: 4x3   3x4
The inner '3's match up so B*C is possible. The dimensions of B*C is 4x4 as these are the outer dimensions when lining up 4x3  3x4

Since B*C is a square matrix, it is possible that an inverse could exist. Keep in mind that this isn't a guarantee as the determinant of B*C could be zero (which would lead to BC being non-invertible). Though of course we'd need more info.
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Helen spent $145 for shoes. This was $55 more than twice what she spent for a bag. How much was the bag?
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45 DOLLARS

Step-by-step explanation:

For these kind of problems, write an equation to figure out the answer.

55 + 2x = 145

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Take out the constant, which is 55, from both sides. A constant is a useful term you should learn.

The result is: 2x = 90

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The required length of the hypotenuse of the triangle is √19.

<h3>What is a right triangle?</h3>
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To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

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Therefore, the required length of the hypotenuse of the triangle is √19.

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