How do you know whether a matrix has infinitely many solutions or one solution?

Q: A corporation wants to lease a fleet of 12 airplanes with a combined carrying capacity of 220…

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Q: Fuse an inverse matrix to solve the given system of equations. X-X, +x, = 1 2x, +x, +2x, =2 3x, +2x2…

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Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Q#2:-Find how many Even and Odd numbers inside the upper triangle of the secondary diagonal for…

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Q: Express as a single matrix.

A: Here we need to express the product of matrices 2-1030-22-13030142as a single matrix.

Q: Solve the following system of linear equations: 3x1+3x2+9x3 = 3 2x1+2x2+6x3 = 7 x1+2x2+7x3 = 2 If…

A: Let Ax=b be a system of linear equations,  then (*) If rank(A|b)=rank(A) , then system is consistent…

Q: Solve the following system of linear equations: 5x1-10x2+5x3 = -20 x₁+3x2-9x3 = 16 -2x1+6x2-6x3 16

A: Let Ax=b be a system of linear equations,  then (*) If rank(A|b)=rank(A) , then system is consistent…

Q: Three solutions contain a certain acid. The first contains 15% acid, the second 20% acid, and the…

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Q: 6. Solve the system by inverting the coefficient matrix: X₁ + 3x₂ + x3 = 4 2x₁ + 2x₂ + x3 = -1 2x₁ +…

A: We can write system of equation as AX=b Where A is the coefficient matrix of this system. Then we…

Q: What is the argumented matrix of the two systems? 2x1+x2+2x3=2 5x1+9x2-8x3=4

A: The given equation is,