2 2 -2 Q.1. Let A= B = [ ; } ] and C= 0 3...

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2 2 -2 Q.1. Let A= B = [ ; } ] and C= 0 3 -3 3. 6 Find (a) AB (b) A-2C (c) BA (d) 54 A+3B (e) BA (f) BI,, here I, is an identity matrix of size 22, (g) BC, if exists. Q.2. Find p and q if A Bas C35 Q.3. Is (AC)=CA true? Justify your answer by an example. 5 Q. 4. Let A= -2 7 -2 0 and B=0 67. Show that A and B are invertible and, find A' using the 1 42 direct formula and B using the row reduction method. Q. 5. Suppose AC=1,, then show that the equation Ax=b has a solution for any be R". Q. 6. If AC is an invertible matrix, then show that C is also invertible. 2 2 -2 Q.1. Let A= B = [ ; } ] and C= 0 3 -3 3. 6 Find (a) AB (b) A-2C (c) BA (d) 54 A+3B (e) BA (f) BI,, here I, is an identity matrix of size 22, (g) BC, if exists. Q.2. Find p and q if A Bas C35 Q.3. Is (AC)=CA true? Justify your answer by an example. 5 Q. 4. Let A= -2 7 -2 0 and B=0 67. Show that A and B are invertible and, find A' using the 1 42 direct formula and B using the row reduction method. Q. 5. Suppose AC=1,, then show that the equation Ax=b has a solution for any be R". Q. 6. If AC is an invertible matrix, then show that C is also invertible.

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Q1 a AB is not defined as the number of columns in A 2 is not equal to the number of rows in B 2 b A ... View the full answer