Civil Engineering
2023 · Paper 2
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE CE 2023 Paper 2 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.
Question 37
Open questionCE-2MCQ2 marksNeeds review
Two vectors
and
belong to the null space of a 4 × 4 matrix of rank 2. Which one of the following vectors also belongs to the null space?Your answerChoose one option.
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Open questionCE-2MCQ2 marksNeeds review
Cholesky decomposition is carried out on the following square matrix
.
Let
and
be the (i,j)
elements of matrices
and
, respectively. If the element
of the decomposed lower triangular matrix
is 1.968, what is the value (rounded off to the nearest integer) of the element
?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 39
Open questionCE-2MCQ2 marksNeeds review
In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 units, respectively. The principal stresses are ________. (round off to one decimal place)
Your answerChoose one option.
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