{"id":18249,"date":"2020-01-06T11:57:27","date_gmt":"2020-01-06T06:27:27","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=18249"},"modified":"2021-07-02T15:30:47","modified_gmt":"2021-07-02T10:00:47","slug":"2nd-puc-maths-question-bank-chapter-3-ex-3-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/2nd-puc-maths-question-bank-chapter-3-ex-3-1\/","title":{"rendered":"2nd PUC Maths Question Bank Chapter 3 Matrices Ex 3.1"},"content":{"rendered":"

Students can Download Maths Chapter 3 Matrices Ex 3.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers<\/a>\u00a0helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices Ex 3.1<\/h2>\n

2nd PUC Maths Matrices NCERT Text Book Questions and Answers
\nEx 3.1<\/h3>\n

Question 1.
\nIn the matrix
\n\\(\\mathbf{A}=\\left[\\begin{array}{rrrr}{2} & {5} & {19} & {-7} \\\\{35} & {-2} & {\\frac{5}{2}} & {12} \\\\{\\sqrt{3}} & {1} & {-5} & {17}\\end{array}\\right]\\)
\n(i) The order of the matrix,
\n(ii) The number of elements,
\n(iii) Write the elements a13<\/sub>, a21<\/sub>, a33<\/sub>, a24 <\/sub>,a23<\/sub>,
\nAnswer:
\n(i) The order of the matrix is 3 x 4
\n(ii) Number of elements = 12
\n(iii) a13<\/sub>= 19
\na21 <\/sub>= 35
\na33 <\/sub>= -5
\na24 <\/sub>= 12
\na23 <\/sub>= \\(\\frac{5}{2}\\)<\/p>\n

Question 2.
\nIf a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?
\nAnswer:
\n1 x 24; 24 x 1; 2 x 12;\u00a0 12 x 2;
\n3 x 8; 8 x 3; 4 x 6; 6 x 4
\n13 elements
\n1 x 13;\u00a0\u00a0 13 x 1<\/p>\n

\"KSEEB<\/p>\n

Question 3.
\nIf a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?
\nAnswer:
\n18 elements
\n1 x 18;\u00a0\u00a0\u00a0\u00a0\u00a0 18 x 1;\u00a0\u00a0\u00a0\u00a0\u00a0 2 x 9;\u00a0\u00a0\u00a0\u00a0\u00a0 9 x 2;\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 x 6;\u00a0 6 x 3
\n5 elements
\n1 x 5;\u00a0 \u00a0 5 x 1;<\/p>\n

Question 4.
\nConstract a 2 x 2 matrix A =[aij<\/sub>] ,whose element are given by:
\n\\(a_{u}=\\frac{(i+j)^{2}}{2}\\)
\n\\(a_{i j}=\\frac{i}{j}\\)
\n\\(a_{i j}=\\frac{(i+2 j)^{2}}{2}\\)
\nAnswer:
\n\"2nd
\n\"2nd<\/p>\n

\"KSEEB<\/p>\n

Question 5.
\nConstruct a 3 x 4 matrix, whose elements are given by:
\n(i) \\(a_{i j}=\\frac{1}{2}|-3 i+j| \\)
\n(ii) \\(a_{i j}=2 i-j\\)
\nAnswer:
\n\"2nd<\/p>\n

Question 6.
\nFind the values of x, y and z from the following equations:
\n\\(\\text { (i) }\\left[\\begin{array}{ll}{4} & {3} \\\\{x} & {5}\\end{array}\\right]=\\left[\\begin{array}{ll}{y} & {z} \\\\{1} & {5}\\end{array}\\right]\\)
\nAnswer:
\nx = 1, y = 4, z = 3<\/p>\n

(ii) \\(\\left[\\begin{array}{cc}{x+y} & {2} \\\\{5+z} & {xy}\\end{array}\\right]=\\left[\\begin{array}{cc}{6} & {2} \\\\{5} & {8}\\end{array}\\right]\\)
\nAnswer:
\n5 + z = 5 = \\(\\succ \\)– z = 0
\nx + y = 6 = \\(\\succ \\) x = 2
\nxy = 8 = \\(\\succ \\) x = 4
\ny = 4
\n4 = 2<\/p>\n

\"KSEEB<\/p>\n

(iii) \\(\\left[\\begin{array}{r}{\\mathbf{x}+\\mathbf{y}+\\mathbf{z}} \\\\{\\mathbf{x}+\\mathbf{z}} \\\\{\\mathbf{y}+\\mathbf{z}}\\end{array}\\right]=\\left[\\begin{array}{l}{\\mathbf{9}} \\\\{\\mathbf{5}} \\\\{\\mathbf{7}}\\end{array}\\right]\\)
\nAnswer:
\na – b = -1
\n2a – b = 0
\na = 1
\n\u2234 2a – b = 0
\n\u21d2 b = 2
\n2a + c = 5
\nc = 5 – 2 = 3 \u2234 c = 3
\nd= 13-9 = 4
\na = 1, b = 2 ,c = 3, d = 4<\/p>\n

Question 8.
\nA = [aij<\/sub>]m x n\\<\/sub>\u00a0is a square matrix, if
\n(A) m < n
\n(B) m>n
\n(C) m = n
\n(D) None of these
\nAnswer:
\n(C) m = n as in a square matrix, the number of rows = number of colums.<\/p>\n

\"KSEEB<\/p>\n

Question 9.
\nWhich of the given values of x and y make the following pair of matrices equal
\n\\(\\left[\\begin{array}{cc}{3 x+7} & {5} \\\\{y+1} & {2-3 x}\\end{array}\\right],\\left[\\begin{array}{cc}{0} & {y-2} \\\\{8} & {4}\\end{array}\\right]\\)
\n(A) \\(x=\\frac{-1}{3}, y=7\\)
\n(B) Not possible to find
\n(C) \\(y=7, x=\\frac{-2}{3}\\)
\n(D) \\(x=\\frac{-1}{3}, y=\\frac{-2}{3}\\)
\nAnswer:
\n\"2nd
\nsince x has 2 values, matrices are not equal. Hence, it is not possible to find the value. a option (B). is correct.<\/p>\n

Question 10.
\nThe number of all possible matrices of order 3 x 3 with each entry 0 or 1 is:
\n(A) 27
\n(B) 18
\n(C) 81
\n(D) 512
\nAnswer:
\nThere are 9 elements in the matrix. Each elements can be placed in 2 ways is all posible matrices of order 3 x 3 is 29<\/sup> = 512 a option (D) is correct.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 3 Matrices Ex 3.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers\u00a0helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka 2nd PUC Maths Question Bank Chapter 3 Matrices Ex 3.1 2nd PUC Maths Matrices NCERT Text Book …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[82],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/18249"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=18249"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/18249\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=18249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=18249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=18249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}