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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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Alborosie

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

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Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

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pennies = 8, dimes = 16, nickels = 13, quarters = 13

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2 years ago
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