Co-factors
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleting the fir..
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleting the fir..Summary
. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i ..
. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i ..Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
Find the image of M(- 6, 12) under dilation with center as origin and ..
Find the image of M(- 6, 12) under dilation with center as origin and with a scale factor of 5 6 . => (- 5, 10) or (- 7, 14) or (5 , - 10) or (7, - 14)..
Find the scale factor for the dilation.
Find the scale factor for the dilation. => 2.5 or 6.5 or 3 or 2..
The shaded region is the image of rhombus ABCD after dilation with res..
The shaded region is the image of rhombus ABCD after dilation with respect to point A and scale factor 1 4 . If AB = 16 inches, then find the length of A'B'. => 4 inches or 5 inches or 6 inches or 3 inches..
What is the scale factor when Q is dilated to Pwith center O?
What is the scale factor when Q is dilated to P with center O ? => 1 4 or 3 or 4 or 1 3..
The length of a rectangle PQRS is 15 m. Find the measure of the dila..
The length of a rectangle PQRS is 15 m. Find the measure of the dilation image for a scale factor of 4 5 . => 12 m or 15 m or 7 m or 18.75 m..
A graphic designer designed a logo according to a company's specificat..
A graphic designer designed a logo according to a company's specifications. The length of the logo was 8 inches. When the company wanted him to reduce the size of the logo, he used a scale factor of 1 2 to reduce the size. Find the new length of the logo. => 6 inches or 7 inches..
Find the volume of the solid after the prism is dilated all the three ..
Find the volume of the solid after the prism is dilated all the three dimensions by a scale factor of 1 4 . => 48 m 3 or 64 m 3 or 3 m 3 or 12 m 3..
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