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Let A be a 4x2 matrix B be a 2x4 matrix C be a 4x4 nonsingular matrix D be a 3x3

ID: 3096313 • Letter: L

Question

Let A be a 4x2 matrix B be a 2x4 matrix C be a 4x4 nonsingular matrix D be a 3x3 singular matrix I2 be the 2x2 Identity matrix.
Clearly Circle either True or False for each of the statmentsbelow? and explain why?

(a) T or F It is possible to compute: B2+3D
(b) T or F It is possible to compute: (5BT+2A)D
(c) T or F It is possible to compute:8BC-1-3AT
(d) T or F It is possible to compute: AD-1 -I2B
(e)T or F it is possible to compute: I2 + D=D
B be a 2x4 matrix C be a 4x4 nonsingular matrix D be a 3x3 singular matrix I2 be the 2x2 Identity matrix.
Clearly Circle either True or False for each of the statmentsbelow? and explain why?

(a) T or F It is possible to compute: B2+3D
(b) T or F It is possible to compute: (5BT+2A)D
(c) T or F It is possible to compute:8BC-1-3AT
(d) T or F It is possible to compute: AD-1 -I2B
(e)T or F it is possible to compute: I2 + D=D


(a) T or F It is possible to compute: B2+3D
(b) T or F It is possible to compute: (5BT+2A)D
(c) T or F It is possible to compute:8BC-1-3AT
(d) T or F It is possible to compute: AD-1 -I2B
(e)T or F it is possible to compute: I2 + D=D

(a) T or F It is possible to compute: B2+3D (b) T or F It is possible to compute: (5BT+2A)D (c) T or F It is possible to compute:8BC-1-3AT (d) T or F It is possible to compute: AD-1 -I2B
(e)T or F it is possible to compute: I2 + D=D

Explanation / Answer

(a) False.    Since B is not a square matrix i.e. no. ofrows is not equal to no. of columns, it is not possible tocalculate B2. (b) False BT is 4*2 matrix and A is a 4*2 matrix. Soadding 5BT and 2A is possible. The sum will be a 4*2matrix but D is a 3*3 matrix and hence the multiplication is notpossible. (c) True BC-1 is a 2*4 matrix. and ATis also a2*4 matrix. Summation is hence possible. (d) False D is a singular matrix and hence its inverse cannot becalculated. (e) False   I is a 2*2 matrix and D is 3*3 matrix . Hence,summation is not possible.

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