1,044 prompts matching "What Cramer's rule gives when the system is inconsistent"
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the unit vector in the direction of (6,8)
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Worked example: expand (x+2)^5 fully using the binomial theorem
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places
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Worked example: construct the truth table for (p AND q) OR (NOT p)
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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Give me a 5-minute recap of quadratic equations
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Give me a 5-minute recap of cubic equations
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Give me a 5-minute recap of propositions and compound statements
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Give me a 5-minute recap of truth tables
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Give me a 5-minute recap of converse and inverse propositions
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Give me a 5-minute recap of biconditional statements
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Give me a 5-minute recap of tautologies
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Give me a 5-minute recap of argument validity
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Give me a 5-minute recap of predicate logic
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Give me a 5-minute recap of permutations
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