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3 years ago

If A is a 5 by 7 matrix, what is the maximum rank that A can have?

Mathematics

1 answer:

amm18123 years ago

3 0

Answer:

Step-by-step explanation:

Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.

Then, if A is a matrix $5\times 7$ the maximum number of pivots that can have is one by row, that is, 5.

Then the maximum rank that A can have is 5.

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2 years ago

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3 years ago

Read 2 more answers

What is the value of y in the solution to the system of equations? 1x + 1y = 1 2x – 3y = -30

nydimaria [60]

Answer:

y=8

Step-by-step explanation:

$\frac{1}{3} x + \frac{1}{4}y= 1\\\\\frac{4x+3y}{12} =1\\4x+ 3y =12\\y = \frac{12-4x}{3}$

let's note this as our equation no. (i)

and let 2x-3y = -30 be the equation no. (ii)

Put value of y from (i) into (ii)

$2x -3y = -30\\2x-3(\frac{12-4x}{3} )=-30\\2x -12+4x = -30\\6x = -30+12\\6x= -18\\x = -3$

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2 years ago

I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!

Pavel [41]

<h3><u>Question:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10. Find their present ages.

<h3><u>Statement:</u></h3>

The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10.

<h3><u>Solution:</u></h3>

Let the present age of Ram and Rehman be 8x years and 9x years respectively.
After 5 years, their ages will be 9x years and 10 years respectively.
Therefore, by the problem

$\frac{8x + 5}{9x + 5} = \frac{9}{10} \\ = > 10(8x + 5) = 9(9x + 5) \\ = > 80x + 50 = 81x + 45 \\ = > 50 - 45 = 81x - 80x \\ = > x = 5$

So, the present age of Ram = 8x years = (8×5) years = 40 years
The present age of Rehman = 9x years = (9×5) years = 45 years

<h3><u>Answer:</u></h3>

The present ages of Ram and Rehman are 40 years and 45 years respectively.

3 0

2 years ago