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Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V),and assume that T^2 = 0.
a) Prove that rangeT is contained in nullT.
b) Prove that dimnullT >= (dimV )/2. Hint. Make use of a)
find the indefinite integral using the formulas from theorem 5.20. remember to use ln u where appropriate. dx x 9
Need assisting in finding the equation for each of the following items below: A line that passes through (6,26) and has a slope of 3.
Draw the line AB that passes through these points - what is the value of the slope and what is the value of the x-intercept?
Sam founda number of nickles and dimes, and quarters in his room. he found thre more dimes than nickles but twice as many quartes as dimes. The total value of coins was $5.05, how many coins of each type did Sam find?
Find the amount of the house after 3 years
Find the LCM of the given denominators
Solve the equation
Conversely, suppose A and A^-1 are both matrices with integer entries. Prove that D(A_1, A_2) = +/- 1.
what is the expression in index forum for the following questions
How many bags of potato chips and ice cream bars did omar eat when 88 grams of fat and 1505 calories were consumed?
Use the information below to answer the following questions. (Do not include the dollar signs ($). Round your answers to 4 decimal places, (e.g., 32.1616))
Multiply the matrices.
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