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\answer{The trace}{\trace}
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\answer{The trace}{\trace}
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</pre>
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</pre>
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We have first defined an integer ``range'', to be used to bound the
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We have first defined an integer ``range'', to be used to bound the
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random values a,b,c,d which are the elements of the matrix. And the trace is
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random values a,b,c,d which are the elements of the matrix. And the trace is
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of course defined by the sum of the elements on the diagonal. Please take
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of course defined by the sum of the elements on the diagonal. Please take
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care to the definition <tt>trace=(\a)+(\d)</tt>: the pairs of parentheses
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care to the definition <span class="tt">trace=(\a)+(\d)</span>: the pairs of parentheses
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are necessary, for the substitution is literary. If you define
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are necessary, for the substitution is literary. If you define
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<tt>trace=\a+\d</tt> and if a and d take the values of 3 and -15 respectively,
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<span class="tt">trace=\a+\d</span> and if a and d take the values of 3 and -15 respectively,
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you woule have <tt>trace=3+-15</tt>, a bad mathematical expression. <p>
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you woule have <span class="tt">trace=3+-15</span>, a bad mathematical expression. <p>
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Remark that in this exercise, the non-computed replies are admitted
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Remark that in this exercise, the non-computed replies are admitted
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(such as 2+15 or 3*105). <p>
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(such as 2+15 or 3*105). <p>
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You can
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You can
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!set parm=oef_answercnt=1&oef_choicecnt=0&oef_title=Trace of matrix 2x2&oef_format=tex&oef_computeanswer=yes&level=2&oef_parms=%5Cinteger%7Brange%3D20%7D%0D%0A%5Cinteger%7Ba%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bb%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bc%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bd%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Btrace%3D%28%5Ca%29%2B%28%5Cd%29%7D&oef_statement=Compute the trace of the matrix%0D%0A%24%5Cpmatrix%7B%5Ca%26%5Cb%5Ccr %5Cc%26%5Cd%7D%24.&ansprompt1=The trace&ansgood1=%5Ctrace&oef_hint= &oef_solution= $
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!set parm=oef_answercnt=1&oef_choicecnt=0&oef_title=Trace of matrix 2x2&oef_format=tex&oef_computeanswer=yes&level=2&oef_parms=%5Cinteger%7Brange%3D20%7D%0D%0A%5Cinteger%7Ba%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bb%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bc%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Bd%3Drandom%28-%5Crange..%5Crange%29%7D%0D%0A%5Cinteger%7Btrace%3D%28%5Ca%29%2B%28%5Cd%29%7D&oef_statement=Compute the trace of the matrix%0D%0A%24%5Cpmatrix%7B%5Ca%26%5Cb%5Ccr %5Cc%26%5Cd%7D%24.&ansprompt1=The trace&ansgood1=%5Ctrace&oef_hint= &oef_solution= $
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!href cmd=reply&mode=guided&$parm load this example into the menu
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!href cmd=reply&mode=guided&$parm load this example into the menu