The matrix A is singular if: ?->(Show Answer!)

1. The matrix A is singular if:

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MCQ-> Analyse the following transcript (from the movie Matrix) and provide an appropriate answer for the questions that follow: Neo: Morpheus, what's happened to me? What is this place? Morpheus: More important than what is when. Neo: When? Morpheus: You believe it's the year 1999 when in fact it's closer to 2199. I can't tell you exactly what year it is because we honestly don't know.There's nothing I can say that will explain it for you, Neo. Come with me. See for yourself. This is my ship, the Nebuchadnezzar. It's a hovercraft. This is the main deck. This is the core where we broadcast our pirate signal and hack into the Matrix. Most of my crew you already know. (Next Scene: Construct) Morpheus: This is the construct. It's our loading programme. We can load anything from clothing, to equipment, weapons, training simulations, anything we need. Neo: Right now we're inside a computer programme? Morpheus: Is it really so hard to believe? Your clothes are different. The plugs in your arms and head are gone. Your hair is changed. Your appearance now is what we call residual self image. It is the mental projection of your digital self. Neo: This...this isn't real? Morpheus: What is real? How do you define real? If you're talking about what you can feel, what you can smell, what you can taste and see, then real is simply electrical signals interpreted by your brain. ...This is the world that you know. The world as it was at the end of the twentieth century. It exists now only as part of a neural-interactive simulation that we call the Matrix. You've been living in a dream world, Neo. .. .This is the world as it exists today. Welcome to the Desert of the Real. We have only bits and pieces of information but what we know for certain is that at some point in the early twenty-first century all of mankind was united in celebration. We marvelled at our own magnificence as we gave birth to AI. Neo: AI? You mean artificial intelligence? Morpheus: A singular consciousness that spawned an entire race of machines. We don't know who struck first, us or them. But we know that it was us that scorched the sky. At the time they were dependent on solar power and it was believed that they would be unable to survive without an energy source as abundant as the sun. Throughout human history, we have been dependent on machines to survive. Fate it seems is not without a sense of irony. The human body generates more bio-electricity than a 120-volt battery and over 25,000 BTU's of body heat. Combined with a form of fusion the machines have found all the energy they would ever need. There are fields, endless fields, where human beings are no longer born, we are grown. For the longest time I wouldn't believe it, and then I saw the fields with my own eyes. Watch them liquefy the dead so they could be fed intravenously to the living. And standing there, facing the pure horrifying precision, I came to realize the obviousness of the truth. What is the Matrix? Control. The Matrix is a computer generated dream world built to keep us under control in order to change a human being into this. Neo: No. I don't believe it. It's not possible. Morpheus: I didn't say it would be easy, Neo. I just said it would be the truth. Neo: Stop. Let me out. Let me out. I want out.The innate factor responsible for the status of human beings in later part of 22nd century is
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MCQ->For stable structures, one of the important properties of flexibility and stiffness matrices is that the elements on the main diagonal(i)of a stiffness matrix must be positive(ii)of a stiffness matrix must be negative(iii)of a flexibility matrix must be positive(iv)of a flexibility matrix must be negative The correct answer is :....

MCQ-> Directions: In the following question, a word is represented by only one set of numbers as given in anyone of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'P' can be represented by 11, 32, etc. and 'K' can be represented by 65, 78, etc. Similarly, you have to identify the set for the word SALM.Matrix I

Matrix II

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MCQ->A word is represented by only one set of numbers as given in aiy one of the alternatives. I he sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, 'N' can be represented by 21, 43 etc. and 'R' can be represented by 66, 57 etc. Similarly, you lave to identify the set for the word 'GEAR'. Matrix -I

Matrix - II

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MCQ->A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given In the alternatives are repre-sented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, 'K' can be represented by 22, 04, etc., and 'P' can be represented by 77, 98, etc. Similarly, you have to identify the set for the word 'STRAIN'. Matrix - I

Matrix - II

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