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Linearity

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srestha asked Nov 16, 2018
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Linearity of Matrix
$1)$What is linearly independent solution? Why it is depend on rank of matrix? (Linearly independent solution = no of rows of matrix- rank of matrix) $I=N-R$ $2)$ Why for unique solution of a matrix , determinant of matrix need to be nonzero? What should be determinant value for infinite solution?
$1)$What is linearly independent solution? Why it is depend on rank of matrix?(Linearly independent solution = no of rows of matrix- rank of matrix) $I=N-R$ $2)$ Why for ...
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GO Classes asked Apr 10
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GO Classes CS 2025 | Weekly Quiz 5 | Set Theory | Question: 3
What is the Cartesian product of $A=\{1,2\}$ and $B=\{a, b\}$ ? $\{(1, a),(1, b),(2, a),(b, b)\}$ $\{(1,1),(2,2),(a, a),(b, b)\}$ $\{(1, a),(2, a),(1, b),(2, b)\}$ $\{(1,1),(a, a),(2, a),(1, b)\}$
What is the Cartesian product of $A=\{1,2\}$ and $B=\{a, b\}$ ?$\{(1, a),(1, b),(2, a),(b, b)\}$$\{(1,1),(2,2),(a, a),(b, b)\}$$\{(1, a),(2, a),(1, b),(2, b)\}$$\{(1,1),(...
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