Write the system of linear equations in the form Ax = b. Then use Gaussian elimination to solve this matrix equation for -3x1 x2 + x3 = -1 2x₁ + 4x₂ - 5x3 = 2 X1 - 2x2 + 3x3 = -2

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Q: A password for a computer consists of four digits. How many different passwords are possible?

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A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, and 5 if each digit can be…

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Q: The sum of the squares of the first 5 fibonacci terms, check and prove

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Q: Prove that an odd number multiplied by an odd number is odd.

A: The objective is to prove that an odd number multiplied by an odd number is odd.

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

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Q: How many 3 digit numbers may be formed from the digits 0,1,2,3,4, & 5 if no digit maybe repeated?

A: The given number are 0,1,2,3,4,5.

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Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

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Q: How many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15?

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Q: How many 5-digit numbers can be created such that no digit is repeated?

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Q: 387 345 4156 3178 b) 472 4164 4192 416 :-

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Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can…

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Q: How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each digit…

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Q: Write down the 7th row of Pascal's Triangle.

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Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

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