CBSE 12th Standard Maths Subject Matrices HOT Questions Fill Ups Questions 2021
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CBSE 12th Standard Maths Subject Matrices HOT Questions Fill Ups Questions 2021
12th Standard CBSE
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Reg.No. :
Maths
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If A and B are invertible matrices of the same order, then (AB)–1 = B–1 A–1.
(a)6
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Let A = [aij]be a matric of order 2 x 3 and aij = \(\frac { i-j }{ i+j } \), write the value of a23
(a)-1/5
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if \(\left[ \begin{matrix} a+b & 2 \\ 5 & ab \end{matrix} \right] =\left[ \begin{matrix} 6 & 2 \\ 5 & 8 \end{matrix} \right] \)find the relation between a and b
(a)a = 2b {a=4, b=2}
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If following information regarding the number of men and women workers in three factories I, II and III is written in the form of 3 x 2 matrix. What does the entry in third row and second column represent
Men Workerts Women Workers Factory I 30 25 Factory II 25 31 Factory III 27 26 (a)Number of women workers in factory III
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If, A = |aij| = \(\left[ \begin{matrix} 2 & 3 & -5 \\ 1 & 4 & 9 \\ 0 & 7 & -2 \end{matrix} \right] \)and B =|bij| =\(\left[ \begin{matrix} 2 & -1 \\ -3 & 4 \\ 1 & 2 \end{matrix} \right] \) Write the value of
(i)a22 + b21
(ii) a11b11 +a22b22(a)1, 20
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CBSE 12th Standard Maths Subject Matrices HOT Questions Fill Ups Questions 2021 Answer Keys
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From the definition of inverse of a matrix, we have
(AB) (AB)–1 = 1
or A–1 (AB) (AB)–1 = A–1I (Pre multiplying both sides by A–1)
or (A–1A) B (AB)–1 = A–1 (Since A–1 I = A–1)
or IB (AB)–1 = A–1
or B (AB)–1 = A–1
or B–1 B (AB)–1 = B–1 A–1
or I (AB)–1 = B–1 A–1
Hence (AB)–1 = B–1 A–1From the definition of inverse of a matrix, we have
(AB) (AB)–1 = 1
or A–1 (AB) (AB)–1 = A–1I (Pre multiplying both sides by A–1)
or (A–1A) B (AB)–1 = A–1 (Since A–1 I = A–1)
or IB (AB)–1 = A–1
or B (AB)–1 = A–1
or B–1 B (AB)–1 = B–1 A–1
or I (AB)–1 = B–1 A–1
Hence (AB)–1 = B–1 A–1 -
-1/5
-1/5
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a = 2b {a=4, b=2}
a = 2b {a=4, b=2}
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Number of women workers in factory III
Number of women workers in factory III
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1, 20
1, 20
